Publications in collaboration with researchers from Universitat Pompeu Fabra (20)

2015

  1. Erratum: The Dirichlet problem associated to the relativistic heat equation [Math. Ann., (2010), 347, 135-199, DOI 10.1007/s00208-009-0428-3]

    Mathematische Annalen

2013

  1. On the relativistic heat equation in one space dimension

    Proceedings of the London Mathematical Society, Vol. 107, Núm. 6, pp. 1395-1423

2012

  1. Radially symmetric solutions of a tempered diffusion equation. A Porous media, flux-limited case

    SIAM Journal on Mathematical Analysis, Vol. 44, Núm. 2, pp. 1019-1049

2010

  1. A Fisher-Kolmogorov equation with finite speed of propagation

    Journal of Differential Equations, Vol. 248, Núm. 10, pp. 2528-2561

  2. The Dirichlet problem associated to the relativistic heat equation

    Mathematische Annalen, Vol. 347, Núm. 1, pp. 135-199

2008

  1. A characterization of convex calibrable sets in RN with respect to anisotropic norms

    Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, Vol. 25, Núm. 4, pp. 803-832

  2. Rotationally symmetric 1-harmonic maps from D 2 to S 2

    Calculus of Variations and Partial Differential Equations, Vol. 32, Núm. 4, pp. 533-554

  3. Some regularity results on the 'relativistic' heat equation

    Journal of Differential Equations, Vol. 245, Núm. 12, pp. 3639-3663

2007

  1. A diffusion equation in transparent media

    Journal of Evolution Equations, Vol. 7, Núm. 1, pp. 113-143

2006

  1. Finite propagation speed for limited flux diffusion equations

    Archive for Rational Mechanics and Analysis, Vol. 182, Núm. 2, pp. 269-297

2005

  1. A strongly degenerate quasilinear elliptic equation

    Nonlinear Analysis, Theory, Methods and Applications, Vol. 61, Núm. 4, pp. 637-669

  2. A strongly degenerate quasilinear equation: The parabolic case

    Archive for Rational Mechanics and Analysis, Vol. 176, Núm. 3, pp. 415-453

  3. The Cauchy problem for a strongly degenerate quasilinear equation

    Journal of the European Mathematical Society, Vol. 7, Núm. 3, pp. 361-393

2004

  1. A strongly degenerate quasilinear equation: The elliptic case

    Annali della Scuola Normale Superiore di Pisa - Classe di Scienze , Vol. 3, Núm. 3, pp. 555-587

  2. The minimizing total variation flow with measure initial conditions

    Communications in Contemporary Mathematics, Vol. 6, Núm. 3, pp. 431-494

2003

  1. The total variation flow with measure initial conditions

    XVIII CEDYA Congreso de Ecuaciones Diferenciales y Aplicaciones ; VIII CMA Congreso de Matemática Aplicada: Tarragona, 15-19 septiembre de 2003

2002

  1. Existence and uniqueness of a solution for a parabolic quasilinear problem for linear growth functionals with L1 data

    Mathematische Annalen, Vol. 322, Núm. 1, pp. 139-206

  2. Some qualitative properties for the total variation flow

    Journal of Functional Analysis, Vol. 188, Núm. 2, pp. 516-547

2001

  1. The dirichlet problem for the total variation flow

    Journal of Functional Analysis, Vol. 180, Núm. 2, pp. 347-403

2000

  1. Sur le flot qui minimise la variation totale

    Comptes Rendus de l'Academie des Sciences - Series I: Mathematics, Vol. 331, Núm. 11, pp. 867-872