An improved stability result for a heat equation backward in time with nonlinear source

Autor:	Nguyen Huy Tuan, Pham Hoang Quan
Jazyk:	angličtina
Rok vydání:	2012
Předmět:	Nonlinear heat problem ill-posed problem Fourier transform contraction principle
Zdroj:	Mathematical Communications Volume 17 Issue 1
ISSN:	1848-8013 1331-0623
Popis:	We consider a nonlinear backward heat conduction problem in a strip. The problem is ill-posed in the sense that the solution (if it exists) does not depend continuously on the data. We shall use a modified integral equation method to regularize the nonlinear problem. The error estimates of Hölder type of the regularized solutions are obtained.
Databáze:	OpenAIRE
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