A monotonicity method for solving hyperbolic problems with hysteresis

0360152 - MÚ 2012 CZ eng J - Článek v odborném periodiku
Krejčí, Pavel
A monotonicity method for solving hyperbolic problems with hysteresis.
Applications of Mathematics. Roč. 33, č. 3 (1988), s. 197-203. ISSN 0862-7940. E-ISSN 1572-9109
Klíčová slova: Quasilinear hyperbolic equation * Ishlinskii hysteresis operator * periodic solution
Kód oboru RIV: BA - Obecná matematika
http://dml.cz/bitstream/handle/10338.dmlcz/104302/AplMat_33-1988-3_4.pdf

A version of the Minty-Browder method is used for proving the existence and uniqueness of a weak co-periodic solution to the equation utt — div F(grad u) = g in a bounded domain Q c RN with the boundary condition u = 0 on dQ, where g is a given (generalized) co-periodic function and F is the Ishlinskii hysteresis operator.
Trvalý link: http://hdl.handle.net/11104/0197776