Weak differentiability of scalar hysteresis operators

0439234 - MÚ 2016 RIV US eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR GAP201/10/2315
Institucionální podpora: RVO:67985840
Klíčová slova: hysteresis * differentiability * variational inequality
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.127, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0242547