Identifying an unknown source in the Poisson equation by the method of Tikhonov regularization in Hilbert scales
Author:
Funder
National Natural Science Foundation of China
Publisher
Elsevier BV
Subject
Applied Mathematics,Modelling and Simulation
Reference19 articles.
1. Structural identification of an unknown source term in a heat equation;Cannon;Inverse Prob.,1998
2. Conditional stability in determining a heat source;Choulli;J. Inverse Ill-Posed Probl.,2004
3. On an inverse source problem for the heat equation. Application to a pollution detection problem;El Badia;J. Inverse Ill-Posed Probl.,2002
4. Data compatibility and conditional stability for an inverse source problem in the heat equation;Li;Appl. Math. Comput.,2006
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1. Optimization Method for Estimating the Inverse Source Term in Elliptic Equation;Springer Proceedings in Mathematics & Statistics;2023
2. Boundary condition limitation in an inverse source problem and its overcoming;Computers & Mathematics with Applications;2022-04
3. On the Inverse Source Identification Problem in $L^{\infty }$ for Fully Nonlinear Elliptic PDE;Vietnam Journal of Mathematics;2021-07-22
4. A modified quasi-reversibility method for inverse source problem of Poisson equation;Inverse Problems in Science and Engineering;2021-03-22
5. Identifying an Unknown Source in the Poisson Equation with a Super Order Regularization Method;International Journal of Computational Methods;2019-05-20
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