On some classes of inverse parabolic problems of recovering the thermophysical parameters
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In the article we examine the question of regular solvability in Sobolev spaces of parabolic inverse coefficient problems. A solution is sought in the class of regular solutions that has all derivatives occurring in the equation summable to some power. The overdetermination conditions are the values of a solution at some collection of points lying inside the domain. The proof is based on a priori estimates and the fixed point theorem.
Parabolic equation, inverse problem, initial-boundary value problem, existence, uniqueness
Короткий адрес: https://sciup.org/147241774
IDR: 147241774 | DOI: 10.14529/mmph230303
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