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On prescribed change of profile for solutions of parabolicequations

Parabolic equations with homogeneous Dirichlet conditions on the boundary are studied in a setting where the solutions are required to have a prescribed change of the profile in fixed time, instead of a Cauchy condition. It is shown that this problem is well-posed in L2-setting. Existence and regula...

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Bibliographic Details
Main Author:	Dokuchaev, Nikolai
Format:	Journal Article
Published:	IOP Publishing 2011
Subjects:	parabolic equations absorption diffusion ill-posed problems Maximum Principle
Online Access:	http://hdl.handle.net/20.500.11937/46307

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