Professor of Applied Mathematics
Department of Mathematics

* Postal Address:
Departamento de Matemáticas
Universidad Autónoma de Madrid
Campus de Cantoblanco, 28049 Madrid, SPAIN

* Building  C-XV, Office # 406,

juanluis.vazquez  at 91 497 49 35  91 497 48 89


Juan Luis Vázquez Suárez version  List of Mathematical Publications
                 1980-1999 2000-2016          Courses, books and notes  Mathematical and expository writing


Double Special Volume of the Journal Nonlinear Analysis Theory Methods & Applications, "Nonlinear Partial Differential Equations", in honor of Juan Luis Vázquez for his 70th birthday

Volume 1          Volume 2

Research Interests

Research area: nonlinear  partial differential equations arising in the applied sciences.
Special topics:
point.gifNonlinear parabolic  and elliptic equations. Nonlinear diffusion and heat propagation.
point.gifFree boundaries. Selfsimilarity. Asymptotic methods.  Blow-up.

We have a research project  Nonlinear
partial differential equations: diffusion, blow-up and free boundaries,  funded by the Spanish Ministry for Education (MEC)


Institutional interests

*  Member of the Directing Board of the Confederation of Spanish Scientific Societies (COSCE), 2004-2009. COSCE


*  Until June 2010 president of the Scientific Committee of Real Sociedad Matemática Española RSME


* Nominated in 2012 Fellow of the American Mathematical Society AMS


* Nominated in May 2013 Numerary Academician of the Real Academia de Ciencias Exactas, Físicas y Naturales RAC   Main recent research activities

* CIME Summer Course 2016 Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions in Cetraro (Italy), July, 4-8, 2016. Speakers: J. A. Carrillo, A. Figalli, R. Mingione, M. del Pino, J. L. Vázquez. * Summer Course UIMP 2015 Frontiers of Mathematics and Applications IV in Santander (Spain), July 20-24, 2015. Main speakers: P. Daskalopoulos, S. Terracini, J. L. Vázquez, and L. Vega. * Semester Programme at the Newton Institute Free Boundary Problems in Cambridge, UK, 6 January to 4 July, 2014. Co-organizer with Henrik Shahgholian (Stockholm) and Gui-Qiang Chen (Oxford). * Summer Course UIMP 2012 Frontiers of Mathematics and Applications in Santander (Spain), August 13-17, 2012. Organizers: M. Bonforte and J. L. Vázquez. Main speakers: X. Cabré (Barcelona), L. A. Caffarelli (Texas, USA) L. C. Evans (Berkeley, USA). * Corso Estivo di Matematica Cortona 2012 Trends in Nonlinear Elliptic and Parabolic Equations Scuola Matematica Interuniversitaria held in Cortona (Italy), July 16-28, 2012. Professors: S. Terracini and J. L. Vázquez. * Workshop Centro Ennio De Giorgi Recent Trends in Nonlinear Diffusion in Pisa (Italy), 2-6 July 2012. Main organizer. * Summer School Centro Ennio De Giorgi Topics in Nonlinear Parabolic Equations in Pisa (Italy), 24-29 June 2012. Main organizer. * MSRI Semester Programme Free Boundary Problems, Theory and Applications in Berkeley, California, January to May 2011. Invited fellow. * Summer Course UIMP 2011 Frontiers of Mathematics and Applications in Santander (Spain), August 15-19, 2011. Organizers: M. Bonforte and J. L. Vázquez. * Workshop Spain-Italy Nonlinear PDEs and Functional Inequalities in Madrid (Spain) September 19-20, 2011. Organizers: M. Bonforte and J. L. Vázquez.


 imagen de ICM2006

Madrid, 22-30 Agust 2006.
The great event of the international mathematical community
                 organized by the 
International Mathematical Union   (IMU),     
                                     It is held every 4 years. First ICM: Zurich, 1897.  
          A famous ICM:  Paris 1900.
See complete list

* My article appeared in Proceedings of ICM2006
   "Perspectives in Nonlinear Diffusion. Between Analysis, Physics and Geometry" 

*The slides of my talk at ICM slidespdf   My books 2006  My Ph. D. Students  Social life                                                      
                 Activities and conferences

To  think about

"If I have seen further it is by standing on the

 shoulders of Giants." 

Isaac Newton