## Global Behaviour of Solutions to the Wave Equations with Hysteresis

• The wave equation with a Preisach hysteresis operator can be considered as a one-dimensional projection of Maxwell" s equations in a ferromagnetic medium. An initial-boundary value problem for this equation is solved here with emphasizing the fact that under a bounded forcing term the solutions remain bounded. This is due to the strong dissipation of hysteresis energies. New proofs of hysteresis energy inequalities are given without referring to the structure of hysteresis memory.

Author: P. Krejci urn:nbn:de:hbz:386-kluedo-6703 Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (65) Preprint English 1991 1991 Technische Universität Kaiserslautern 2000/07/09 Fachbereich Mathematik 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

$Rev: 13581$