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

Numerical analysis of high-dimensional transfer operators

08-115 Janosch Rieger.
A C∞ density theorem for differential inclusions with Lipschitz continuous right hand sides


By definition, solutions of differential inclusions are absolutely continuous functions with L1 derivatives. We prove that at least for a class of Lipschitz continuous right hand sides the C∞-solutions are dense in the set of all solutions with respect to the supremum norm.