1. BV solutions of rate independent differential inclusions
- Creator:
- Krejčí, Pavel and Recupero, Vincenzo
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- diferenciální inkluze, obsluha zastavení, hodnotit nezávislost, and konvexní sada
- Language:
- English
- Description:
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public