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On initial inverse problem for nonlinear couple heat with Kirchhoff type
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DOI：10.1186/s13662-021-03655-8.png)
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Abstract
En 中文
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.
Keywords:
Kirchhoff-type problems
Nonlocal problem
Well-posedness
Regularization
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