title: Evolution equations in ostensible metric spaces. II. Examples in Banach spaces and of free boundaries.
creator: Lorenz, Thomas
subject: ddc-510
subject: 510 Mathematics
description: 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.
date: 2005
type: Preprint
type: info:eu-repo/semantics/preprint
type: NonPeerReviewed
format: application/pdf
identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/5520/1/Lorenz_ostensible_metric_II.pdf
identifier: DOI:10.11588/heidok.00005520
identifier: urn:nbn:de:bsz:16-heidok-55206
identifier:   Lorenz, Thomas  (2005) Evolution equations in ostensible metric spaces. II. Examples in Banach spaces and of free boundaries.  [Preprint]     
relation: https://archiv.ub.uni-heidelberg.de/volltextserver/5520/
rights: info:eu-repo/semantics/openAccess
rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html
language: eng