Juan Luis Vázquez. Publications 1980-1999

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1980
Existence of solutions bounded at infinity for a semilinear elliptic equation on RN (author: J. L. V.), Collect. Math. 31 (1980), no. 1, 11–22.     pdf
1981
Removable singularities of some strongly nonlinear elliptic equations (authors: J. L. V., Laurent Véron), Manuscripta Math. 33 (1980/81), no. 2, 129–144.     pdf
An a priori interior estimate for the solutions of a nonlinear problem representing weak diffusion (author: J. L. V.), Nonlinear Anal. 5 (1981), no. 1, 95–103.     pdf
Asymptotic behaviour of the solutions of a strongly nonlinear parabolic problem (authors: Miguel A. Herrero, J. L. V.), Ann. Fac. Sci. Toulouse Math. (5) 3 (1981), no. 2, 113–127.     pdf
1982
Symmetrization in nonlinear parabolic equations (author: J. L. V.), Portugal. Math. 41 (1982), no. 1-4, 339–346 (1984).     pdf
Symétrisation pour ut = Δφ(u) et applications. (French) [Symmetrization for ut=Δφ(u) and applications] (author: J. L. V.), C. R. Acad. Sci. Paris Sér. I Math. 295 (1982), no. 2, 71–74.   Erratum: "Symmetrization for ut=Δφ(u) and applications''. C. R. Acad. Sci. Paris Sér. I Math. 296 (1983), no. 10, 455.     pdf
Monotone perturbations of the Laplacian in L1(Rn) (author: J. L. V.), Israel J. Math. 43 (1982), no. 3, 255–272.     pdf
On the propagation properties of a nonlinear degenerate parabolic equation (authors: Miguel A. Herrero, J. L. V.), Comm. Partial Differential Equations 7 (1982), no. 12, 1381–1402.     pdf
1983
On a semilinear equation in R2 involving bounded measures (author: J. L. V.), Proc. Roy. Soc. Edinburgh Sect. A 95 (1983), no. 3-4, 181–202.     pdf
Asymptotic behaviour and propagation properties of the one-dimensional flow of gas in a porous medium (author: J. L. V.), Trans. Amer. Math. Soc. 277 (1983), no. 2, 507–527.     pdf
1984
A strong maximum principle for some quasilinear elliptic equations (author: J. L. V.), Appl. Math. Optim. 12 (1984), no. 3, 191–202.     pdf
Behaviour of the velocity of one-dimensional flows in porous media (author: J. L. V.), Trans. Amer. Math. Soc. 286 (1984), no. 2, 787–802.     pdf
The interfaces of one-dimensional flows in porous media (authors: J. L. V.), Trans. Amer. Math. Soc. 285 (1984), no. 2, 717–737.     pdf
Singularities of elliptic equations with an exponential nonlinearity (authors: J. L. V., Laurent Véron), Math. Ann. 269 (1984), no. 1, 119–135.     pdf
Existence and regularity of solutions for a semilinear first-order equation on the torus (author: J. L. V.), Manuscripta Math. 45 (1984), no. 2, 193–206.     pdf
1985-86
Interfaces with a corner point in one-dimensional porous medium flow (authors: Donald G. Aronson, Luis A. Caffarelli, J. L. V.), Comm. Pure Appl. Math. 38 (1985), no. 4, 375–404.     pdf
A symmetrization result for elliptic equations with lower-order terms (authors: Guido Trombetti, J. L. V.), Ann. Fac. Sci. Toulouse Math. (5) 7 (1985), no. 2, 137–150.     pdf
Isolated singularities of some semilinear elliptic equations (authors: J. L. V., Laurent Véron) J. Differential Equations 60 (1985), no. 3, 301–321.     pdf
Hyperbolic aspects in the theory of the porous medium equation (author: J. L. V.), Metastability and incompletely posed problems (Minneapolis, Minn., 1985), 325–342, IMA Vol. Math. Appl., 3 , Springer, New York, 1987.     pdf
Singularités isolées et comportement à l'infini des solutions de l'équation de Schrödinger stationnaire. (French) [Isolated singularities and behavior at infinity of the solutions of the stationary Schrödinger equation] (authors: J. L. V., Cecilia Yarur), C. R. Acad. Sci. Paris Sér. I Math. 300 (1985), no. 4, 105–108.     pdf
On the equation of turbulent filtration in one-dimensional porous media (authors: Juan R. Esteban, J. L. V.), Nonlinear Anal. 10 (1986), no. 11, 1303–1325.     pdf
1987
Eventual C-regularity and concavity for flows in one-dimensional porous media (authors: Donald G. Aronson, J. L. V.), Arch. Rational Mech. Anal. 99 (1987), no. 4, 329–348.     pdf
Lipschitz continuity of solutions and interfaces of the N-dimensional porous medium equation (authors: Luis A. Caffarelli, J. L. V., Noemí I. Wolanski), Indiana Univ. Math. J. 36 (1987), no. 2, 373–401.     pdf
The porous medium equation as a finite-speed approximation to a Hamilton-Jacobi equation (authors: Donald G. Aronson, J. L. V.), Ann. Inst. H. Poincaré Anal. Non Linéaire 4 (1987), no. 3, 203–230.     pdf
The relation between the porous medium and the eikonal equations in several space dimensions (authors: Pierre-Louis Lions, Panagiotis E. Souganidis, J. L. V.), Rev. Mat. Iberoamericana 3 (1987), no. 3-4, 275–310.     pdf
Classification de solutions singulières à l'origine pour une équation de la chaleur non linéaire. (French) [Classification of singular solutions of a nonlinear heat equation] (authors: Shoshana Kamin, Lambertus A. Peletier J. L. V.), C. R. Acad. Sci. Paris Sér. I Math. 305 (1987), no. 13, 595–598.     pdf
The one-dimensional nonlinear heat equation with absorption: regularity of solutions and interfaces (authors: Miguel A. Herrero, J. L. V.), SIAM J. Math. Anal. 18 (1987), no. 1, 149–167.     pdf
Concavity of solutions of the porous medium equation (authors: Philippe Bénilan, J. L. V.), Trans. Amer. Math. Soc. 299 (1987), no. 1, 81–93.     pdf
Isolated singularities of the solutions of the Schrödinger equation with a radial potential (authors: J. L. V., Cecilia Yarur), Arch. Rational Mech. Anal. 98 (1987), no. 3, 251–284.     pdf
1988
Fundamental solutions and asymptotic behaviour for the p-Laplacian equation (authors: Shoshana Kamin, J. L. V.), Rev. Mat. Iberoamericana 4 (1988), no. 2, 339–354.     pdf
Thermal waves in absorbing media (authors: Miguel A. Herrrero, J. L. V.), J. Differential Equations 74 (1988), no. 2, 218–233.     pdf
Homogeneous diffusion in R with power-like nonlinear diffusivity (authors: Juan R. Esteban, J. L. V.), Arch. Rational Mech. Anal. 103 (1988), no. 1, 39–80.     pdf
A nonlinear heat equation with singular diffusivity (authors: Juan R. Esteban, Ana Rodríguez, J. L. V.), Comm. Partial Differential Equations 13 (1988), no. 8, 985–1039.     pdf
1989
Regularity of solutions and interfaces of the porous medium equation via local estimates (author: J. L. V.), Proc. Roy. Soc. Edinburgh Sect. A 112 (1989), no. 1-2, 1–13.     pdf
Classification of singular solutions of a nonlinear heat equation (authors: Shoshana Kamin, Lambertus A. Peletier, J. L. V.), Duke Math. J. 58 (1989), no. 3, 601–615.     pdf
Isolated singularities of the Schrödinger equation with a good potential (authors: Cecilia Yarur, J. L. V.), Trans. Amer. Math. Soc. 315 (1989), no. 2, 711–720.     pdf
1990
A well-posed problem in singular Fickian diffusion (authors: Ana Rodriguez, J. L. V.), Arch. Rational Mech. Anal. 110 (1990), no. 2, 141–163.     pdf
Asymptotic behavior of solutions of a nonlinear diffusion-absorption equation with a critical exponent. (authors: Victor A. Galaktionov, J. L. V.), (Russian) Dokl. Akad. Nauk SSSR 314 (1990), no. 3, 530-534; translation in Soviet Math. Dokl. 42 (1991), no. 2, 484–487.     pdf
New self-similar solutions of the porous medium equation and the theory of solutions of changing sign (author: J. L. V.), Nonlinear Anal. 15 (1990), no. 10, 931–942.     pdf
Two nonlinear diffusion equations with finite speed of propagation (author: J. L. V.), Problems involving change of type (Stuttgart, 1988), 197–206, Lecture Notes in Phys., 359 , Springer, Berlin, 1990.     pdf
Bounded speed of propagation for solutions to radiative transfer equations (authors: Benoît Pethame, J. L. V.), Comm. Math. Phys. 130 (1990), no. 3, 457–469.     pdf
Régularité des solutions positives de l'équation parabolique p-laplacienne. (French) [Regularity of nonnegative solutions of the p-Laplacian parabolic equation] (authors: Juan R. Esteban, J. L. V.), C. R. Acad. Sci. Paris Sér. I Math. 310 (1990), no. 3, 105–110.     pdf
Schrödinger equations with unique positive isolated singularities (authors: J. L. V., Cecilia Yarur ), Manuscripta Math. 67 (1990), no. 2, 143–163.     pdf
The balance between strong reaction and slow diffusion (authors: Arturo de Pablo, J. L. V.), Comm. Partial Differential Equations 15 (1990), no. 2, 159–183.     pdf
1991
Asymptotic behaviour of solutions of the porous medium equation with changing sign (authors: Shoshana Kamin, J. L. V.), SIAM J. Math. Anal. 22 (1991), no. 1, 34–45.     pdf
On the Barenblatt equation of elastoplastic filtration (authors: Shoshana Kamin, Lambertus A. Peletier, J. L. V.), Indiana Univ. Math. J. 40 (1991), no. 4, 1333–1362.     pdf
Asymptotic behavior of solutions of a nonlinear diffusion-absorption equation with a critical exponent. (authors: Victor A. Galaktionov, J. L. V.), (Russian) Dokl. Akad. Nauk SSSR 314 (1990), no. 3, 530--534; translation in Soviet Math. Dokl. 42 (1991), no. 2, 484–487.     pdf
Asymptotic behaviour of nonlinear parabolic equations with critical exponents. A dynamical systems approach (authors: Victor A. Galaktionov J. L. V.), J. Funct. Anal. 100 (1991), no. 2, 435–462.     pdf
Regularity of solutions and interfaces of a generalized porous medium equation in RN (authors: Arturo de Pablo, J. L. V.), Ann. Mat. Pura Appl. (4) 158 (1991), 51–74.     pdf
Travelling waves and finite propagation in a reaction-diffusion equation (authors: Arturo de Pablo, J. L. V.), J. Differential Equations 93 (1991), no. 1, 19–61.     pdf
Diffusivity determination in nonlinear diffusion (authors: Carmen Cortázar, Manuel Elgueta, J. L. V.), European J. Appl. Math. 2 (1991), no. 2, 159–169.     pdf
Solutions positives d'équations elliptiques semi-linéaires sur des variétés riemanniennes compactes. (French) [Positive solutions of semilinear elliptic equations on compact Riemannian manifolds] (authors: J. L. V., Laurent Véron), C. R. Acad. Sci. Paris Sér. I Math. 312 (1991), no. 11, 811–815.     pdf
Solutions of a nonlinear ODE appearing in the theory of diffusion with absorption (authors: John B. Mcleod, Lambertus A. Peletier, J. L. V.), Differential Integral Equations 4 (1991), no. 1, 1–14.     pdf
1992
An introduction to the mathematical theory of the porous medium equation (author: J. L. V.), Shape optimization and free boundaries (Montreal, PQ, 1990), 347–389, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 380 , Kluwer Acad. Publ., Dordrecht, 1992.     pdf
Singular solutions of some nonlinear parabolic equations. Festschrift on the occasion of the 70th birthday of Shmuel Agmon (authors: Shoshana Kamin, J. L. V.), J. Anal. Math. 59 (1992), 51–74.     pdf
Nonexistence of solutions for nonlinear heat equations of fast-diffusion type (author: J. L. V.), J. Math. Pures Appl. (9) 71 (1992), no. 6, 503–526.     pdf
The propagation of turbulent bursts (authors: Shoshana Kamin, J. L. V.), European J. Appl. Math. 3 (1992), no. 3, 263–272.     pdf
Interaction of gas fronts (authors: Andrew A. Lacey, J. L. V.), Quart. Appl. Math. 50 (1992), no. 3, 469–478.     pdf
An overdetermined initial and boundary-value problem for a reaction-diffusion equation (authors: Arturo de Pablo, J. L. V.), Nonlinear Anal. 19 (1992), no. 3, 259–269.     pdf
Maximal solutions of singular diffusion equations with general initial data (authors: Ana Rodríguez, J. L. V.), Nonlinear diffusion equations and their equilibrium states, 3 (Gregynog, 1989), 471–484, Progr. Nonlinear Differential Equations Appl., 7 , Birkhäuser Boston, Boston, MA, 1992.     pdf
A nonlinear diffusion-absorption equation with unbounded initial data (authors: Shoshana Kamin, Lambertus A. Peletier, J. L. V.), Nonlinear diffusion equations and their equilibrium states, 3 (Gregynog, 1989), 243–263, Progr. Nonlinear Differential Equations Appl., 7 , Birkhäuser Boston, Boston, MA, 1992.     pdf
1993
A diffusion-convection equation in several space dimensions (authors: Miguel Escobedo, J. L. V., Enrike Zuazua), Indiana Univ. Math. J. 42 (1993), no. 4, 1413–1440.     pdf
Asymptotic behaviour and source-type solutions for a diffusion-convection equation (authors: Miguel Escobedo, J. L. V., Enrique Zuazua), Arch. Rational Mech. Anal. 124 (1993), no. 1, 43–65.     pdf
Nonlinear elliptic equations in RN without growth restrictions on the data (authors: Lucio Boccardo, Thierry Gallouët, J. L. V.), J. Differential Equations 105 (1993), no. 2, 334–363.     pdf
Regional blow up in a semilinear heat equation with convergence to a Hamilton-Jacobi equation (authors: Victor A. Galaktionov, J. L. V.), SIAM J. Math. Anal. 24 (1993), no. 5, 1254–1276.     pdf
The dipole solution for the porous medium equation in several space dimensions (authors: Josephus Hulsholf, J. L. V.), Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 20 (1993), no. 2, 193–217.     pdf
A very singular solution for the dual porous medium equation and the asymptotic behaviour of general solutions (authors: Francisco Bernis, Josephus Hulsholf, J. L. V.), J. Reine Angew. Math. 435 (1993), 1–31.     pdf
Stabilization of solutions of weakly singular quenching problems (authors: Marek Fila, Howard Levine, J. L. V.), Proc. Amer. Math. Soc. 119 (1993), no. 2, 555–559.     pdf
Asymptotic behaviour of nonlinear parabolic equations. Anomalous exponents (author: J. L. V.), Degenerate diffusions (Minneapolis, MN, 1991), 215–228, IMA Vol. Math. Appl., 47 , Springer, New York, 1993.     pdf
Asymptotic behavior of the solutions of a nonlinear Fokker-Planck equation with Dirichlet boundary conditions (authors: Elena Comparini, Riccardo Ricci, J. L. V.), J. Math. Anal. Appl. 175 (1993), no. 2, 606–631.     pdf
Solutions of a nonlinear ODE appearing in the theory of diffusion with absorption (authors: John B. Mcleod, Lambertus A. Peletier, J. L. V.), Free boundary problems in fluid flow with applications (Montreal, PQ, 1990), 190–193, Pitman Res. Notes Math. Ser., 282 , Longman Sci. Tech., Harlow, 1993.     pdf
A nonlinear diffusion-absorption equation with unbounded initial data (authors: Shoshana Kamin, Lambertus A. Peletier, J. L. V.), Free boundary problems in fluid flow with applications (Montreal, PQ, 1990), 157–160, Pitman Res. Notes Math. Ser., 282 , Longman Sci. Tech., Harlow, 1993.     pdf
1994
Self-similar solutions of the second kind for the modified porous medium equation (authors: Josephus Hulshof, J. L. V.), European J. Appl. Math. 5 (1994), no. 3, 391–403.     pdf
Asymptotic behaviour for an equation of superslow diffusion. The Cauchy problem (authors: Victor A. Galktionov, J. L. V.), Asymptotic Anal. 8 (1994), no. 2, 145–159.     pdf
Asymptotic behaviour for an equation of superslow diffusion in a bounded domain (authors: Victor A. Galktionov, Robert Kersner, J. L. V.), Asymptotic Anal. 8 (1994), no. 3, 237–246.     pdf
Extinction for a quasilinear heat equation with absorption. II. A dynamical systems approach (authors: Victor A. Galktionov, J. L. V.), Comm. Partial Differential Equations 19 (1994), no. 7-8, 1107–1137.     pdf
Extinction for a quasilinear heat equation with absorption. I. Technique of intersection comparison (authors: Victor A. Galktionov, J. L. V.), Comm. Partial Differential Equations 19 (1994), no. 7-8, 1075–1106.     pdf
Existence and uniqueness of solutions of diffusion-absorption equations with general data (authors: Magdalena Walías, J. L. V.), Differential Integral Equations 7 (1994), no. 1, 15–36.     pdf
Entropy solutions for diffusion-convection equations with partial diffusivity (authors: Miguel Escobedo, J. L. V., Enrike Zuazua), Trans. Amer. Math. Soc. 343 (1994), no. 2, 829–842.     pdf
1995
An L1-theory of existence and uniqueness of solutions of nonlinear elliptic equations (authors: Philippe Bénilan, Lucio Boccardo, Thierry Gallouët, Ron Gariepy, Michel Pierre, J. L. V.), Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 22 (1995), no. 2, 241–273.     pdf
A free-boundary problem for the heat equation arising in flame propagation (authors: Luis A. Caffarelli, J. L. V.), Trans. Amer. Math. Soc. 347 (1995), no. 2, 411–441.     pdf
Anomalous exponents in nonlinear diffusion (authors: Donald G. Aronson, J. L. V.), Nonlinear Sci. 5 (1995), no. 1, 29–56.     pdf
Necessary and sufficient conditions for complete blow-up and extinction for one-dimensional quasilinear heat equations (authors: Victor A. Galaktionov, J. L. V.), Arch. Rational Mech. Anal. 129 (1995), no. 3, 225–244.     pdf
Continuation after blow-up of solutions of nonlinear heat equations (authors: Victor A. Galaktionov, J. L. V.), C. R. Acad. Sci. Paris Sér. I Math. 321 (1995), no. 5, 569–574.     pdf
On the stability or instability of the singular solution of the semilinear heat equation with exponential reaction term (authors: Ireneo Peral, J. L. V.), Arch. Rational Mech. Anal. 129 (1995), no. 3, 201–224.     pdf
Persistence of corners in free boundaries in Hele-Shaw flow (authors: John R. King, Andrew A. Lacey, J. L. V.). European J. Appl. Math. 6 (1995), no. 5, 455–490.     pdf
Asymptotic behaviour for the frictionless Vlasov-Poisson-Fokker-Planck system (authors: José A. Carrillo, Juan Soler, J. L. V.), C. R. Acad. Sci. Paris Sér. I Math. 321 (1995), no. 9, 1195–1200.     pdf
Asymptotic convergence to dipole solutions in nonlinear parabolic equations (authors: Victor A. Galaktionov, Sergey A. Posashkov, J. L. V.), Proc. Roy. Soc. Edinburgh Sect. A 125 (1995), no. 5, 877–900.     pdf
Lagrangian coordinates and regularity of interfaces in reaction-diffusion equations (authors: Sergei I. Shmarev, J. L. V.), C. R. Acad. Sci. Paris Sér. I Math. 321 (1995), no. 8, 993–998.     pdf
Geometrical properties of the solutions of one-dimensional nonlinear parabolic equations (authors: Victor A. Galaktionov, J. L. V.), Math. Ann. 303 (1995), no. 4, 741–769.     pdf
Self-similar turbulent bursts: existence and analytic dependence (authors: Fernando Quirós, J. L. V.), Differential Integral Equations 8 (1995), no. 7, 1677–1708.     pdf
Non-uniqueness of solutions of nonlinear heat equations of fast diffusion type (authors: Ana Rodríguez, J. L. V.), Ann. Inst. H. Poincaré Anal. Non Linéaire 12 (1995), no. 2, 173–200.     pdf
Different similarity regimes for the turbulent burst equation (authors: Fernando Quirós, J. L. V.), C. R. Acad. Sci. Paris Sér. I Math. 320 (1995), no. 5, 559–565.     pdf
1996
The free boundary problem for the heat equation with fixed gradient condition (author: J. L. V.), Free boundary problems, theory and applications (Zakopane, 1995), 277–302, Pitman Res. Notes Math. Ser., 363 , Longman, Harlow, 1996.     pdf
The fast diffusion equation with logarithmic nonlinearity and the evolution of conformal metrics in the plane (authors: Juan R. Esteban, Ana Rodríguez, J. L. V.), Adv. Differential Equations 1 (1996), no. 1, 21–50.     pdf
Different kinds of singular solutions of nonlinear parabolic equations (authors: Laurent Véron, J. L. V.), Nonlinear problems in applied mathematics, 240–249, SIAM, Philadelphia, PA, 1996.     pdf
Maximal viscosity solutions of the modified porous medium equation and their asymptotic behaviour (authors: Josephus Hulshof, J. L. V.), European J. Appl. Math. 7 (1996), no. 5, 453–471.     pdf
The regularity of solutions of reaction-diffusion equations via Lagrangian coordinates (authors: Sergei I. Shmarev, J. L. V.), NoDEA Nonlinear Differential Equations Appl. 3 (1996), no. 4, 465–497.     pdf
Entropy solutions and the uniqueness problem for nonlinear second-order elliptic equations (author: J. L. V.), Nonlinear partial differential equations (Fès, 1994), 179–203, Pitman Res. Notes Math. Ser., 343 , Longman, Harlow, 1996.     pdf
Asymptotic behaviour and self-similarity for the three-dimensional Vlasov-Poisson-Fokker-Planck system (authors: José A. Carrillo, Juan Soler, J. L. V.), J. Funct. Anal. 141 (1996), no. 1, 99–132.     pdf
The N-Laplacian elliptic equation: variational versus entropy solutions (authors: Luigi Boccardo, Ireneo Peral, J. L. V.), J. Math. Anal. Appl. 201 (1996), no. 3, 671–688.     pdf
Blow-up for quasilinear heat equations described by means of nonlinear Hamilton-Jacobi equations (authors: Victor A. Galaktionov, J. L. V.), J. Differential Equations 127 (1996), no. 1, 1–40.     pdf
Nonuniqueness in nonlinear heat propagation: a heat wave coming from infinity (authors: Manuela Chaves, J. L. V.), Differential Integral Equations 9 (1996), no. 3, 447–464.     pdf
1997
Mathematical model of the non-equilibrium water-oil displacement in porous strata (authors: Grigory I. Barenblatt, Jesús Garcia-Azorero, Arturo de Pablo, J. L. V.), Appl. Anal. 65 (1997), no. 1-2, 19–45.     pdf
The maximal solution of the logarithmic fast diffusion equation in two space dimensions (authors: Ana Rodríguez, Juan R. Esteban, J. L. V.), Adv. Differential Equations 2 (1997), no. 6, 867–894.     pdf
Blow-up solutions of some nonlinear elliptic problems (authors: H. Brezis, J. L. V.), Rev. Mat. Univ. Complut. Madrid 10 (1997), no. 2, 443–469.     pdf
Extinction and focusing behaviour of spherical and annular flames described by a free boundary problem (authors: Victor A. Galaktionov, Josephus Hulsholf, J. L. V.), J. Math. Pures Appl. (9) 76 (1997), no. 7, 563–608.     pdf
Incomplete blow-up and singular interfaces for quasilinear heat equations (authors: Victor A. Galaktionov, J. L. V.), Comm. Partial Differential Equations 22 (1997), no. 9-10, 1405–1452.     pdf
Optimal existence and uniqueness in a nonlinear diffusion-absorption equation with critical exponents (authors: Manuela Chaves, J. L. V., Magdalena Walías), Proc. Roy. Soc. Edinburgh Sect. A 127 (1997), no. 2, 217–242.     pdf
Focusing solutions for the p-Laplacian evolution equation (authors: Omar Gil, J. L. V.), Adv. Differential Equations 2 (1997), no. 2, 183–202.     pdf
Continuation of blowup solutions of nonlinear heat equations in several space dimensions (authors: Victor A. Galaktionov, J. L. V.), Comm. Pure Appl. Math. 50 (1997), no. 1, 1–67.     pdf
1998
A new free boundary problem for unsteady flows in porous media (authors: Grigory I. Barenblatt, J. L. V.), European J. Appl. Math. 9 (1998), no. 1, 37–54.     pdf
Limit behaviour of focusing solutions to nonlinear diffusions (authors: Donald G. Aronson, Omar Gil, J. L. V.), Comm. Partial Differential Equations 23 (1998), no. 1-2, 307–332.     pdf
A priori estimates, Lagrangian coordinates and the regularity of nonlinear diffusion equations. Dedicated to the memory of Julio E. Bouillet (author: J. L. V.), Rev. Un. Mat. Argentina 41 (1998), no. 1, 115–128.     pdf
Rate of approach to a singular steady state in quasilinear reaction-diffusion equations (authors: John W. Dold, Victor A. Galaktionov, Andrew A. Lacey, J. L. V.), Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 26 (1998), no. 4, 663–687.     pdf
1999
Viscosity solutions for the porous medium equation (authors: Luis Caffarelli, J. L. V.), Differential equations: La Pietra 1996 (Florence), 13–26, Proc. Sympos. Pure Math., 65 , Amer. Math. Soc., Providence, RI, 1999.     pdf
Blow-up of a class of solutions with free boundaries for the Navier-Stokes equations (authors: Victor A. Galaktionov, J. L. V.), Adv. Differential Equations 4 (1999), no. 3, 297–321.     pdf
Asymptotic behaviour of the porous media equation in an exterior domain (authors: Fernando Quirós, J. L. V.), Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 28 (1999), no. 2, 183–227.     pdf
Domain of existence and blowup for the exponential reaction-diffusion equation (author: J. L. V.), Indiana Univ. Math. J. 48 (1999), no. 2, 677–709.     pdf
Free boundary layer formation in nonlinear heat propagation (authors: Manuela Chaves, J. L. V.), Comm. Partial Differential Equations 24 (1999), no. 11-12, 1945–1965.     pdf
Regularity of solutions and interfaces to degenerate parabolic equations. The intersection comparison method (authors: Victor A. Galaktionov, Sergei I. Shamrev, J. L. V.), Free boundary problems: theory and applications (Crete, 1997), 115–130, Chapman & Hall/CRC Res. Notes Math., 409 , Chapman & Hall/CRC, Boca Raton, FL, 1999.     pdf
Asymptotic behaviour of a generalized Burgers' equation (authors: Guillermo Reyes, J. L. V.), J. Math. Pures Appl. (9) 78 (1999), no. 6, 633–666.     pdf
Second-order interface equations for nonlinear diffusion with very strong absorption (authors: Victor A. Galaktionov, Sergei I. Shamrev, J. L. V.), Commun. Contemp. Math. 1 (1999), no. 1, 51–64.     pdf
Las ecuaciones de la filtración de fluidos en los medios porosos (author: J. L. V.), Boletín de SEMA (Sociedad Española de Matemática Aplicada) 14 (1999), 37-83.     pdf
   

Conference Proceedings

Existence of solutions with compact support for a semilinear differential equation on an unbounded open set (author: J. L. V.), (Spanish) Proceedings of the sixth conference of Portuguese and Spanish mathematicians, Part I (Santander, 1979). Rev. Univ. Santander No. 2, part 1 (1979), 453–455.     pdf
Some semilinear partial differential problems with measures (author: J. L. V.), Proceedings of the second conference on differential equations and their applications, I (Valldoreix, 1979). Publ. Sec. Mat. Univ. Autònoma Barcelona, No. 18, (1980), 175–187.     pdf
Propagation properties of the solutions of a nonlinear parabolic equation. (authors: Miguel A. Herrero, J. L. V.), (Italian) Matematiche (Catania) 36 (1981), no. 1, 126–132 (1983).     pdf
Large time behaviour of the solutions of the one-dimensional porous media equation (author: J. L. V.), Free boundary problems: theory and applications, Vol. I, II (Montecatini, 1981), 167–177, Res. Notes in Math., 78 , Pitman, Boston, MA, 1983.     pdf
Convexity properties of the solutions of nonlinear heat equations (author: J. L. V.), Contributions to nonlinear partial differential equations, Vol. II (Paris, 1985), 249–266, Pitman Res. Notes Math. Ser., 155 , Longman Sci. Tech., Harlow, 1987.     pdf
Some regularity results for some nonlinear parabolic equations in L1 (authors: Lucio Boccardo, Thierry Gallouët, J. L. V.), Some topics in nonlinear PDEs (Turin, 1989). Rend. Sem. Mat. Univ. Politec. Torino 1989, Special Issue, 69–74 (1991).     pdf
The nonlinear heat equation. (author: J. L. V.), (Spanish) Proceedings of the Mathematical Meeting in Honor of A. Dou (Spanish) (Madrid, 1988), 251–258, Editorial Univ. Complutense Madrid, Madrid, 1989.     pdf
Regularity of solutions of the p-Laplacian nonlinear evolution equation. (authors: Juan R. Esteban, J. L. V.), (Spanish) Proceedings of the XIth Congress on Differential Equations and Applications/First Congress on Applied Mathematics (Spanish) (Málaga, 1989), 561–565, Univ. Málaga, Málaga, 1990.     pdf
Singular solutions and asymptotic behaviour of nonlinear parabolic equations (author: J. L. V.), International Conference on Differential Equations, Vol. 1, 2 (Barcelona, 1991), 234–249, World Sci. Publ., River Edge, NJ, 1993.     pdf
Self-similar turbulences. Existence and analytic dependence. (authors: Fernando Quirós, J. L. V.), (Spanish) III Congress on Applied Mathematics/XIII Congress on Differential Equations and Applications (Spanish) (Madrid, 1993), 363–368, Univ. Politéc. Madrid, Madrid.     pdf
Asymptotic behavior of nonlinear parabolic equations (authors: J. L. V.), (Spanish) III Congress on Applied Mathematics/XIII Congress on Differential Equations and Applications (Madrid, 1993), 38–58, Univ. Politéc. Madrid, Madrid, 1993.     pdf
A dynamical systems approach for the asymptotic analysis of nonlinear heat equations (authors: Victor A. Galaktionov, J. L. V.), International Conference on Differential Equations (Lisboa, 1995), 82–106, World Sci. Publ., River Edge, NJ, 1998.     pdf
Boundary layer formation in a free boundary problem with nonlinear heat propagation. (authors: Manuela Chaves, J. L. V.), (Spanish) XV Congress on Differential Equations and Applications/V Congress on Applied Mathematics, vols. I, II (Vigo, 1997), 407–412, Colecc. Congr., 9 , Univ. Vigo, Vigo, 1998.     pdf
Blow-up problems in evolution equations (author: J. L. V.), (Spanish) XV Congress on Differential Equations and Applications/V Congress on Applied Mathematics, Vol. I, II (Spanish) (Vigo, 1997), 101–107, Colecc. Congr., 9 , Univ. Vigo, Vigo, 1998.     pdf
Regularity of interfaces in diffusion processes under the influence of strong absorption (authors: Victor A. Galaktionov, Sergei I. Shmarev, J. L. V.), Arch. Ration. Mech. Anal. 149 (1999), no. 3, 183–212.     pdf