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| Two-Dimensional Parabolic Inverse Source Problem withFinal Overdetermination in Reproducing Kernel Space? |
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Citation： |
Wenyan WANG,Masahiro YAMAMOTO,Bo HAN.Two-Dimensional Parabolic Inverse Source Problem withFinal Overdetermination in Reproducing Kernel Space?[J].Chinese Annals of Mathematics B,2014,35(3):469~482 |
| Page view： 2745
Net amount： 2465 |
Authors： |
Wenyan WANG; Masahiro YAMAMOTO; Bo HAN; |
Foundation： |
National Natural Science Foundation of China (No. 91230119). |
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| Abstract： |
A new method of the reproducing kernel Hilbert space is applied to a twodimensional
parabolic inverse source problem with the final overdetermination. The exact
and approximate solutions are both obtained in a reproducing kernel space. The approximate
solution and its partial derivatives are proved to converge to the exact solution and
its partial derivatives, respectively. A technique is proposed to improve some existing
methods. Numerical results show that the method is of high precision, and confirm the
robustness of our method for reconstructing source parameter. |
Keywords： |
Inverse source problem, Final overdetermination, Parabolic equation,Reproducing kernel |
Classification： |
35K55, 47B32 |
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