On initial inverse problem for nonlinear couple heat with Kirchhoff type
Abstract The main objective of the paper is to study the final model for the Kirchhoff-type parabolic system. Such type problems have many applications in physical and biological phenomena. Under some smoothness of the final Cauchy data, we prove that the problem has a unique mild solution. The main...
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| Formato: | article |
| Lenguaje: | EN |
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SpringerOpen
2021
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| Acceso en línea: | https://doaj.org/article/0f13b9935dc34f77973b04dea43904af |
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| Sumario: | Abstract The main objective of the paper is to study the final model for the Kirchhoff-type parabolic system. Such type problems have many applications in physical and biological phenomena. Under some smoothness of the final Cauchy data, we prove that the problem has a unique mild solution. The main tool is Banach’s fixed point theorem. We also consider the non-well-posed problem in the Hadamard sense. Finally, we apply truncation method to regularize our problem. The paper is motivated by the work of Tuan, Nam, and Nhat [Comput. Math. Appl. 77(1):15–33, 2019]. |
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