Geodesic
$\rm BV$ solutions of rate independent differential inclusions
Mathematica Bohemica, Tome 139 (2014) no. 4, pp. 607-619.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We consider a class of evolution differential inclusions defining the so-called stop operator arising in elastoplasticity, ferromagnetism, and phase transitions. These differential inclusions depend on a constraint which is represented by a convex set that is called the characteristic set. For $\rm BV$ (bounded variation) data we compare different notions of $\rm BV$ solutions and study how the continuity properties of the solution operators are related to the characteristic set. In the finite-dimensional case we also give a geometric characterization of the cases when these kinds of solutions coincide for left continuous inputs.
DOI : 10.21136/MB.2014.144138
Classification : 34A60, 34G25, 52B99, 74C05
Keywords: differential inclusion; stop operator; rate independence; convex set 
@article{10_21136_MB_2014_144138,
     author = {Krej\v{c}{\'\i}, Pavel and Recupero, Vincenzo},
     title = {$\rm BV$ solutions of rate independent differential inclusions},
     journal = {Mathematica Bohemica},
     pages = {607--619},
     publisher = {mathdoc},
     volume = {139},
     number = {4},
     year = {2014},
     doi = {10.21136/MB.2014.144138},
     mrnumber = {3306851},
     zbl = {06433685},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2014.144138/}
}
TY  - JOUR
AU  - Krejčí, Pavel
AU  - Recupero, Vincenzo
TI  - $\rm BV$ solutions of rate independent differential inclusions
JO  - Mathematica Bohemica
PY  - 2014
SP  - 607
EP  - 619
VL  - 139
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2014.144138/
DO  - 10.21136/MB.2014.144138
LA  - en
ID  - 10_21136_MB_2014_144138
ER  - 
%0 Journal Article
%A Krejčí, Pavel
%A Recupero, Vincenzo
%T $\rm BV$ solutions of rate independent differential inclusions
%J Mathematica Bohemica
%D 2014
%P 607-619
%V 139
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2014.144138/
%R 10.21136/MB.2014.144138
%G en
%F 10_21136_MB_2014_144138
Krejčí, Pavel; Recupero, Vincenzo. $\rm BV$ solutions of rate independent differential inclusions. Mathematica Bohemica, Tome 139 (2014) no. 4, pp. 607-619. doi : 10.21136/MB.2014.144138. http://geodesic.mathdoc.fr/articles/10.21136/MB.2014.144138/

Cité par Sources :