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An inverse pollution problem in porous media |
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| Authors: | Cuie Xiao |
| Affiliation: | a Department of Mathematics, Hunan City University, Yiyang 413000, Hunan, PR China b Department of Mathematics, Changsha University of Science and Technology, Changsha 410114, Hunan, PR China c School of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning, Guangxi 530006, PR China |
| Abstract: | In this paper, we deal with an inverse source problem of integro-differential parabolic equations, which comes from nonlinear pollution problems in porous media. We study the existence and uniqueness of solutions for the direct problem as well as the existence of quasisolutions of the inverse source problem in an appropriate class of admissible source functions. |
| Keywords: | Integro-differential parabolic equations Inverse problems Porous media Existence of quasisolutions |
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