Inverse problems for a mixed parabolic-hyperbolic equation with a degenerate parabolic part

S. N. Sidorov

Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 144-157.

Résumé

In this paper, inverse problems are posed and studied to determine the factors of the right-hand sides of a mixed parabolic-hyperbolic type with a degenerate parabolic part, depending on time. On the basis of the theory of integral equations, the corresponding uniqueness theorems and the existence of solutions of inverse problems were proved, and explicit formulas for the solution were obtained.

Détail

Keywords: equation of mixed parabolic-hyperbolic type, initial-boundary value problem, inverse problems, uniqueness, series, small denominators, integral equations.
Mots-clés : existence

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