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ON STABILITY AND REGULARIZATION FOR BACKWARD HEAT EQUATION |
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Citation: |
LIU Jijun,LUO Dingjun.ON STABILITY AND REGULARIZATION FOR BACKWARD HEAT EQUATION[J].Chinese Annals of Mathematics B,2003,24(1):35~44 |
Page view: 1590
Net amount: 911 |
Authors: |
LIU Jijun; LUO Dingjun |
Foundation: |
Project supported by China Postdoctoral Science Foundation (No.2002031224) and the Science
Foundation of Southeast University (No. 9207011148). |
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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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