Article ID Journal Published Year Pages File Type
4620839 Journal of Mathematical Analysis and Applications 2008 11 Pages PDF
Abstract

The ill-posed parabolic equation backward in time{ut+Au=0,0ϵ>0E>ϵ>0 being given is regularized by the well-posed non-local boundary value problem{ut+Au=0,00. The error estimates of Hölder type of the regularized solutions are obtained. These estimates improve the related results by Mel'nikova, Denche and Bessila.

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Physical Sciences and Engineering Mathematics Analysis
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A non-local boundary value problem method for parabolic equations backward in time
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