Preprint of the project: SFB 701: Spectral Structures and Topological Methods in Mathematics - Project A2

Numerical analysis of high-dimensional transfer operators

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.