BV solutions of rate independent differential inclusions

0440830 - MÚ 2015 RIV CZ eng J - Journal Article
Krejčí, Pavel - Recupero, V.
BV solutions of rate independent differential inclusions.
Mathematica Bohemica. Roč. 139, č. 4 (2014), s. 607-619. ISSN 0862-7959
R&D Projects: GA ČR GAP201/10/2315
Institutional support: RVO:67985840
Keywords : differential inclusion * stop operator * rate independence * convex set
Subject RIV: BA - General Mathematics
http://hdl.handle.net/10338.dmlcz/144138

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 BV (bounded variation) data we compare different notions of 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.
Permanent Link: http://hdl.handle.net/11104/0243932