Poisson 方程热源识别反问题

Abstract

Abstract:

This paper discusses the inverse problem of determining a space-wise heat source in the Poisson equation in a half strip domain. This problem is ill-posed, i.e., the solution does not depend continuously on the given data. A regularization solution of the inverse problem is obtained by the Carasso-Tikhonov regularization method. For the regularization solution, Hölder type stability estimate is obtained between the regularization solution and the exact solution. A numerical example shows that the Carasso-Tikhonov regularization method works effectively for identification the heat source.

Key words: Poisson equation, Heat source, Regularization, Carasso-Tikhonov

CLC Number:

35R25

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YANG Fan, FU Chu-Li. he Inverse Problem of the Identification of the Heat Source for the Poisson Equation[J].Acta mathematica scientia,Series A, 2010, 30(4): 1080-1087.

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he Inverse Problem of the Identification of the Heat Source for the Poisson Equation

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