JournalsaihpcVol. 31, No. 2pp. 413–428

Conditions at infinity for the inhomogeneous filtration equation

  • Fabio Punzo

    Dipartimento di Matematica “G. Castelnuovo”, Università di Roma “La Sapienza”, Piazzale Aldo Moro 5, 00185 Roma, Italy

  • Gabriele Grillo

    Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, Italy

  • Matteo Muratori

    Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, Italy
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Abstract

We investigate existence and uniqueness of solutions to the filtration equation with an inhomogeneous density in (), approaching at infinity a given continuous datum of Dirichlet type.

Cite this article

Fabio Punzo, Gabriele Grillo, Matteo Muratori, Conditions at infinity for the inhomogeneous filtration equation. Ann. Inst. H. Poincaré Anal. Non Linéaire 31 (2014), no. 2, pp. 413–428

DOI 10.1016/J.ANIHPC.2013.04.002