Ecuaciones en derivadas parciales gobernadas por operadores acretivos

F. Andreu, C. Ballester, V. Caselles and J.M. Mazón, Minimizing Total Variation Flow. Differential and Integral Equations 14 (2001), 321–360.

F. Andreu, C. Ballester, V. Caselles and J.M. Mazón, The Dirichlet Problem for the Total Variation Flow. Journal of Functional Analysis. 180 (2001), 347–403.

F. Andreu, V. Caselles, J.I. Díaz and J.M. Mazón, Some qualitative properties for the total variation flow. J. Funct. Anal. 188 (2002), 516–547.

F. Andreu, V. Caselles and J.M. Mazón, A Parabolic Quasilinear Problem for Linear Growth Functionals. Rev. Mat. Iberoamericana 18 (2002), 135–185.

F. Andreu, V. Caselles and J.M. Mazón, Existence and Uniqueness of Solution for a Parabolic Quasilinear Problem for Linear Growth Functionals. Math. Ann. 322 (2002), 139–206.

F. Andreu, V. Caselles and J.M. Mazón, The Cauchy Problem for Linear Growth Functionals. J. Evol. Equ. 3 (2003), 39–65.

F. Andreu, V. Caselles, and J.M. Mazon, Parabolic Quasilinear Equations Minimizing Linear Growth Functionals. Progress in Mathematics, vol. 223, 2004. Birkhauser.

F. Andreu, V. Caselles and J.M. Mazón, A strongly degenerate quasilinear equation: the elliptic case. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 3 (2004), 555–587.

F. Andreu, V. Caselles and J.M. Mazón, A strongly degenerate quasilinear equation: the parabolic case. Arch. Ration. Mech. Anal. 176 (2005), 415–453.

F. Andreu, V. Caselles and J.M. Mazón, A strongly degenerate quasilinear elliptic equation. Nonlinear Anal. 61 (2005), 637–669.

F. Andreu, V. Caselles and J.M. Mazón, The Cauchy problem for a strongly degenerate quasilinear equation. J. Eur. Math. Soc. 7 (2005), 361–393.

F. Andreu, V. Caselles and J.M. Mazón, Some regularity results on the relativistic heat equation. J. Differential Equations 245 (2008), 3639–3663.

F. Andreu, V. Caselles, J.M. Mazón and S. Moll, Finite Propagation Speed for Limited Flux Diffusion Equations. Arch. Ration. Mech. Anal. 182 (2006), 269–297.

F. Andreu, V. Caselles, J.M. Mazón and S. Moll, A diffusion equation in transparent media. J. Evol. Equ. 7 (2007), 113–143.

F. Andreu, V. Caselles, J.M. Mazón and S. Moll, The Dirichlet problem associated to the relativistic heat equation. To appear in Math. Ann.

F. Andreu, N. Igbida, J.M. Mazón and J. Toledo, A degenerate elliptic-parabolic problem with nonlinear dynamical boundary conditions. Interfaces Free Bound. 8 (2006), 447–479.

F. Andreu, N. Igbida, J.M. Mazón and J. Toledo, L 1 existence and uniqueness results for quasi-linear elliptic equations with nonlinear boundary conditions. Ann. Inst. H. Poincaré Anal. Non Linéaire 24 (2007), 61–89.

F. Andreu, N. Igbida, J.M. Mazón and J. Toledo, Renormalized solutions for degenerate elliptic-parabolic problems with nonlinear dynamical boundary conditions and L 1 -data. J. Differential Equations 244 (2008), 2764–2803.

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

F. Andreu, J.M. Mazón, S. Segura and J. Toledo, Quasi-linear elliptic and parabolic equations in L 1 with nonlinear boundary conditions. Adv. in Math Sci. and Appl. 7, (1997), 183–213.

F. Andreu, J.M. Mazón, S. Segura and J. Toledo, Existence and uniqueness of solutions for a degenerate parabolic equation with L 1 -data. Trans. Amer. Math. Soc. 351 (1999), 285–306.

F. Andreu, J.M. Mazón and J. Toledo, Asymptotic behaviour of solutions of quasi-linear parabolic equations with non-linear flux. Comput. Appl. Math. 17 (1998), 203–217.

F. Andreu, J.M. Mazón, J Rossi and J. Toledo, The Neumann problem for nonlocal nonlinear diffusion equations. J. Evol. Equ. 8 (2008), 189–215.

F. Andreu, J.M. Mazón, J Rossi and J. Toledo, A nonlocal p-Laplacian evolution equation with Neumann boundary conditions. J. Math. Pures Appl. 90 (2008), 201–227.

F. Andreu, J.M. Mazón, J Rossi and J. Toledo, A nonlocal p-Laplacian evolution equation with nonhomogeneous Dirichlet boundary conditions. SIAM J. Math. Anal. 40 (2009), 1815–1851.

F. Andreu, J.M. Mazón, J Rossi and J. Toledo, The limit as p → ∞ in a nonlocal p-Laplacian evolution equation. A nonlocal approximation of a model for sandpiles. Calc. Var. Partial Differential Equations. 35, (2009), 279–316.

F. Andreu, J.M. Mazón,.J Rossi and J. Toledo, Evolution problems with nonlocal diffusion. Aceptado para su publicación Mathematical Surveys and Monographs (AMS).

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M.G. Crandall, The semigroup approach to first order quasilinear equations in several space variables. Israel J. Math. 12 (1972), 108–132.

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