Conditions at infinity for the inhomogeneous filtration equation

2012/09/28 by Gabriele Grillo, Grillo, Gabriele, Matteo Muratori +3
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Partial Differential Equations #math.AP

paper · pdf · doi:10.48550/arxiv.1209.6505

To appear in Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire

openalex publication_date 2012/09/28 · arxiv created 2013/10/29 · arxiv updated 2013/10/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate existence and uniqueness of solutions to the filtration equation with an inhomogeneous density in \mathbb R^N, approaching at infinity a given continuous datum of Dirichlet type.

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