Some Articles

1999

Existence and uniqueness for a degenerate parabolic equation with $L\sp 1$-datata. Trans. Amer. Math. Soc. 351 (1999), 285—306 (with F. Andreu, S. Segura and J. Toledo)

Global Existence for a Degenerate Nonlinear Difussion Problem with Nonlinear Gradient Term and Sources. Math Ann. 314 (1999), 703-728 (with F. Andreu, F. Simondon and J. Toledo)

2000

A mathematical model for the phase of sexual reproduction in monogonont rotifers J. Math Biology 40 (2000), 451-471 (with A. Calsina and M. Serra)

Minimizing Total Variation Flow. C.R. Acad. Sci. Paris 331 (2000), 867-872. (with F. Andreu, C. Ballester and V Caselles)

2001

Minimizing Total variation Flow. Diff. Int. Equat. 14 (2001), 321-360. (with F. Andreu, C. Ballester and V Caselles)

The Dirichlet problem for the Total Variation Flow. J. Funct. Analysis 180 (2001), 347-403. (with F. Andreu, C. Ballester and V Caselles)

2002

Some qualitative properties for the total variation flow. J. Funct. Anal. 188 (2002), 516--547. ( with F. Andreu, C. Ballester and V Caselles)

A parabolic Quasilinear problem for Linear Growth Functionals. Rev. Mat. Iberoamericana 18 (2202), 135-185. (with F. Andreu, C. Ballester and V Caselles)

Blow-up for a class of nonlinear parabolic problems. Asymptotic Anal. 29 (2002), 143-155. (with F. Andreu, F. Simondon and J. Toledo)

Existence and Uniqueness of a Solution for a Parabolic Quasilinear Problem for Linear Growth Functionals with L^1 Data. Math. Ann. 322 (2002), 139-206. (with F. Andreu, C. Ballester and V Caselles)

2003

The Cauchy problem for Linear Growth Functionals. J. Evol. Equat. 3 (2003), 39-65. (with F. Andreu and V. Caselles)

2004

The best constant for the Sobolev trace embedding from W^{1,1} into L^1. Nonlinear Analysis TMA 59 (2004), 1125-1145 (with F. Andreu and J. Rossi)

The Minimizing Total Variation Flow with Measure Initial Conditions. Comm. in Comp. Math. 6 (2004), 413-494 (with F. Andreu, V. Caselles and S. Moll)

A Stronly Degenerate Quasilinear Equation: the Elliptic Case Ann. Scuola Norm Sup. Pisa Cl. Sci (5) Vol. III (2004), 555-587. (with F. Andreu and V. Caselles)

2005

A Stronly Degenerate Quasilinear Equation: the Parabolic Case. Arch. Rat. Mech. Analysis 176 (2005), 415-453. (with F. Andreu and V. Caselles)

A Strongly Degenerate Quasilinear Equations Nonlinear Analysis TMA 61 (2005), 637-669. (with F. Andreu and V. Caselles)

The Total Variation Flow with Nonlinear Boundary Conditions Asymptotic Analysis 43 (2005), 9-46 (with F. Andreu and S. Moll)

The Cauchy problem for strongly degenerate equation J. Eur.Math. Soc. 7 (2005), 361-393. (with F. Andreu and V. Caselles)

Preprints

L^1 Existence and Uniqueness Results for Quasi-Linear Elliprtic equations with Nonlinear Boundary Conditions

To appear in Ann. Inst. Poincaré (with F. Andreu, N. Igbida and J. Toledo)

Finite propagation Speed for Limited Flux Diffusion Equations

To appear in Arch. Rat. Mech. Analysis (with F. Andreu, V. Caselles and S. Moll)

Books

Cálculo Diferencial: Teoría y Problemas. McGraw Hill . 1997

Parabolic Quasilinear Equations Minimizing Linear Growth Functionals. Progress in Math. Vol. 223, Birkhäuser-Verlag, 2004

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