A class of nonlinear evolution equations governed by time-dependent operators of subdifferential type

Yamazaki, Noriaki

Hokkaido University Preprint Series in Mathematics, 2005, 696, 1-16

Permalink : https://doi.org/10.14943/83847

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アクセス権	open access
DOI	https://doi.org/10.14943/83847
URI	https://hdl.handle.net/2115/69501
タイトル	A class of nonlinear evolution equations governed by time-dependent operators of subdifferential type
著者	著者名 Yamazaki, Noriaki
言語	英語
キーワード	Nonlinear evolution equation
	subdifferential
	parabolic PDE's
	variational inequality
発行日	2005
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	696
ページ	1-16
抄録	Recently there are so many mathematical models which describe nonlinear phenomena. In some phenomena, the free energy functional is not convex. So, the existence-uniqueness question is sometimes difficult. In order to study such phenomena, let us introduce the new class of abstract nonlinear evolution equations governed by timedependent operators of subdifferential type. In this paper we shall show the existence and uniqueness of solution to nonlinear evolution equations with time-dependent constraints in a real Hilbert space. Moreover we apply our abstract results to a parabolic variational inequality with time-dependent double obstacles constraints.
資源タイプ	紀要論文
出版タイプ	Version of Record