The method of differential contractions

Régis Monneau (1)

1 CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique

In this Note we present a general and fairly simple method to design families of contractions for nonlinear partial differential equations, either of evolution type, or of stationary type. As a particular example, we apply this method to the porous medium equation, for which we get new contractions. This method opens new directions to explore.

Mots clés: differential contractions; porous medium equation

Domaines: Equations aux dérivées partielles [math.AP]

Régis Monneau. The method of differential contractions. 2014. ⟨hal-01011037⟩