Weak differentiability of scalar hysteresis operators

0439234 - MÚ 2016 RIV US eng J - Journal Article
Brokate, M. - Krejčí, Pavel
Weak differentiability of scalar hysteresis operators.
Discrete and Continuous Dynamical Systems. Roč. 35, č. 6 (2015), s. 2405-2421. ISSN 1078-0947. E-ISSN 1553-5231
R&D Projects: GA ČR GAP201/10/2315
Institutional support: RVO:67985840
Keywords : hysteresis * differentiability * variational inequality
Subject RIV: BA - General Mathematics
Impact factor: 1.127, year: 2015
http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=10677

Rate independent evolutions can be formulated as operators, called hysteresis operators, between suitable function spaces. In this paper, we present some results concerning the existence and the form of directional derivatives and of Hadamard derivatives of such operators in the scalar case, that is, when the driving (input) function is a scalar function.
Permanent Link: http://hdl.handle.net/11104/0242547