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BV solutions of rate independent differential inclusions
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SYSNO ASEP 0440830 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve SCOPUS Title BV solutions of rate independent differential inclusions Author(s) Krejčí, Pavel (MU-W) RID, SAI, ORCID
Recupero, V. (IT)Source Title Mathematica Bohemica. - : Matematický ústav AV ČR, v. v. i. - ISSN 0862-7959
Roč. 139, č. 4 (2014), s. 607-619Number of pages 13 s. Language eng - English Country CZ - Czech Republic Keywords differential inclusion ; stop operator ; rate independence ; convex set Subject RIV BA - General Mathematics R&D Projects GAP201/10/2315 GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 EID SCOPUS 84929298092 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2015
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