TY  - GEN
Y1  - 2005///
T3  - IWR-Preprints
TI  - Evolution equations in ostensible metric spaces. II. Examples in Banach spaces and of free boundaries.
AV  - public
KW  - Mutationsgleichungen 
KW  -  nichtsymmetrische Abstandsfunktionen 
KW  -  nichtlokale geometrische Evolutionen 
KW  -  erreichbare Mengen von Differentialinklusionengeneralized ODE on sets with nonsymmetric distance functions 
KW  -  nonlocal geometric evolutions 
KW  -  mutational equations 
KW  -  set-valued maps
ID  - heidok5520
UR  - https://archiv.ub.uni-heidelberg.de/volltextserver/5520/
A1  - Lorenz, Thomas
N2  - 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.
ER  -