Preprint des Projektes: SFB 701: Spektrale Strukturen und Topologische Methoden in der Mathematik - Projekt A2

Numerische Spektralanalyse unendlich-dimensionaler Transferoperatoren

07-024 Janosch Rieger.
A regularity theorem for differential inclusions with Lipschitz continuous right hand sides

By definition , solutions of differential inclusions are absolutely continuous function with L1 derivatives. We prove that at least for Lipschitz continuous right hand sides the continuously differentiable solutions are dense in the set of all solutions with respect to the supremum norm, and an application is presented.