eprintid: 5520
rev_number: 8
eprint_status: archive
userid: 1
dir: disk0/00/00/55/20
datestamp: 2005-05-18 13:55:17
lastmod: 2015-04-24 03:16:09
status_changed: 2012-08-14 15:15:01
type: preprint
metadata_visibility: show
creators_name: Lorenz, Thomas
title: Evolution equations in ostensible metric spaces. II. Examples in Banach spaces and of free boundaries.
ispublished: pub
subjects: ddc-510
divisions: i-708000
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
cterms_swd: Verallgemeinerte Differentialgleichung
cterms_swd: Nichtlineare Evolutionsgleichung
cterms_swd: Nichtglatte Analysis
cterms_swd: Mengenwertige Abbildung
cterms_swd: Stark stetige Halbgruppe
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.
abstract_translated_lang: eng
class_scheme: msc
class_labels: 49J53, 34A60, 34G20, 47D06, 34G25
date: 2005
date_type: published
id_scheme: DOI
id_number: 10.11588/heidok.00005520
portal_cluster_id: p-iwrpp
portal_order: 05520
ppn_swb: 1646174801
own_urn: urn:nbn:de:bsz:16-heidok-55206
language: eng
bibsort: LORENZTHOMEVOLUTIONE2005
full_text_status: public
series: IWR-Preprints
citation:   Lorenz, Thomas  (2005) Evolution equations in ostensible metric spaces. II. Examples in Banach spaces and of free boundaries.  [Preprint]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/5520/1/Lorenz_ostensible_metric_II.pdf