Finite speed of propagation for a non-local porous medium equation

Cyril Imbert (1)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

This note is concerned with proving the finite speed of propagation for some non-local porous medium equation by adapting arguments developed by Caffarelli and Vázquez (2010).

Mots clés: Non-local porous medium equation; Non-local non-linear pressure law; finite speed of propagation; fractional Laplacian

Domaines: Equations aux dérivées partielles [math.AP]

Cyril Imbert. Finite speed of propagation for a non-local porous medium equation. Colloquium Mathematicum, 2016, 143 (2), ⟨10.4064/cm6511-12-2015⟩. ⟨hal-01081958v2⟩