ON STABILITY AND REGULARIZATION FOR BACKWARD HEAT EQUATION

Citation:

LIU Jijun,LUO Dingjun.ON STABILITY AND REGULARIZATION FOR BACKWARD HEAT EQUATION[J].Chinese Annals of Mathematics B,2003,24(1):35~44
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Authors:

LIU Jijun; LUO Dingjun

Foundation:

Project supported by China Postdoctoral Science Foundation (No.2002031224) and the Science Foundation of Southeast University (No. 9207011148).
Abstract: Consider a backward heat equation in a bounded domain $\Omega \subset R^2$ with the noisy data in the initial time geometry. The aim is to find the temperature for $0<\varepsilon

Keywords:

Heat equation, Inverse problem, Stability, Regularization

Classification:

35R25, 35R30
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