Simultaneous identification of initial value and source strength in a transmission problem for a parabolic equation-Reference-Cited by-同舟云学术

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Simultaneous identification of initial value and source strength in a transmission problem for a parabolic equation

Published:2022-11-14 Issue:6 Volume:48 Page:
ISSN:1019-7168
Container-title:Advances in Computational Mathematics
language:en
Short-container-title:Adv Comput Math

Author:

Chen Shuli,Jiang Daijun,Wang Haibing^ORCID

Funder

National Natural Science Foundation of China

self-determined research funds of CCNU from the colleges’ basic research and operation of MOE

China Scholarship Council

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s10444-022-09983-x.pdf

Reference30 articles.

1. Bellassoued, M., Yamamoto, M.: Inverse source problem for a transmission problem for a parabolic equation. J. Inverse Ill-Posed Probl. 14, 47–56 (2006)

2. Cheng, J., Liu, J.: A quasi Tikhonov regularization for a two-dimensional backwardheat problem by a fundamental solution. Inverse Problems 24, 065012 (2008)

3. Daubechies, I., Defrise, M., De Mol, C.: An iterative thresholding algorithm for linear inverse problems. Comm. Pure Appl. Math. 57, 1413–1457 (2004)

4. Doubova, A., Osses, A., Puel, J.: Exact controllability to trajectories for semilinear heat equations with discontinuous diffusion coefficients. ESAIM Control Optim. Calc. Var. 8, 621–661 (2002)

5. Elayyan, A., Isakov, V.: On uniqueness of recovery of the discontinuous conductivity coefficient of a parabolic equation. SIAM J. Math. Anal. 28, 49–59 (1997)

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