NDLI: Some classes of inverse evolution problems for parabolic equations

Content Provider	Springer Nature Link
Author	Pyatkov, S. G. Tsybikov, B. N.
Copyright Year	2009
Abstract	We consider the problem of simultaneously determining coefficients of a second order nonlinear parabolic equation and a solution to this equation. The unknown coefficients occur in the main part and in the nonlinear summand as well. The overdetermination conditions are conditions of the Dirichlet type on a family of planes of arbitrary dimension. It is demonstrated that the problem in question is solvable locally in time in Hölder spaces. When the unknown functions enter the right-hand side and the equation is linear, the theorem of global unique existence (in time) is established.
Starting Page	141
Ending Page	153
Page Count	13
File Format	PDF
ISSN	00374466
Journal	Siberian Mathematical Journal
Volume Number	50
Issue Number	1
e-ISSN	15739260
Language	English
Publisher	Springer US
Publisher Date	2009-02-19
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	inverse problem overdetermination condition parabolic equation of second order initial-boundary value problem Mathematics
Content Type	Text
Resource Type	Article
Subject	Mathematics

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Some classes of inverse evolution problems for parabolic equations