Lorenz, Thomas
Preview |
PDF, English
Download (1MB) | Terms of use |
Citation of documents: Please do not cite the URL that is displayed in your browser location input, instead use the DOI, URN or the persistent URL below, as we can guarantee their long-time accessibility.
Abstract
In part I, generalizing mutational equations of Aubin in metric spaces has led to so-called right-hand forward solutions in a nonempty set with a countable family of (possibly nonsymmetric) ostensible metrics. Now this concept is applied to two different types of evolutions that have motivated the definitions : semilinear evolution equations (of parabolic type) in a reflexive Banach space and compact subsets of R^N whose evolution depend on nonlocal properties of both the set and their limiting normal cones at the boundary. For verifying that reachable sets of differential inclusions are appropriate transitions for first-order geometric evolutions, their regularity at the boundary is studied in the appendix.
| Document type: | Preprint |
|---|---|
| Series Name: | IWR-Preprints |
| Date Deposited: | 18 May 2005 13:55 |
| Date: | 2005 |
| Faculties / Institutes: | Service facilities > Interdisciplinary Center for Scientific Computing |
| DDC-classification: | 510 Mathematics |
| Controlled Keywords: | Verallgemeinerte Differentialgleichung, Nichtlineare Evolutionsgleichung, Nichtglatte Analysis, Mengenwertige Abbildung, Stark stetige Halbgruppe |
| Uncontrolled Keywords: | Mutationsgleichungen , nichtsymmetrische Abstandsfunktionen , nichtlokale geometrische Evolutionen , erreichbare Mengen von Differentialinklusionengeneralized ODE on sets with nonsymmetric distance functions , nonlocal geometric evolutions , mutational equations , set-valued maps |
