Nonlocal boundary-value problem for a parabolic-hyperbolic equation of the second kind

DOI10.1134/S1995080220090280zbMath1452.35114OpenAlexW3098371870WikidataQ115525856 ScholiaQ115525856MaRDI QIDQ2211407

A. K. Urinov, A. B. Okboev

Publication date: 11 November 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080220090280

zbMATH Keywords

Laplace transformnon-local conditionBessel functionmodified Cauchy's problem

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boundary value problems for PDEs of mixed type (35M12)

Related Items (6)

Generalized solution of the Cauchy problem for hyperbolic equation with two lines of degeneracy of the second kind ⋮ Exact solutions of the thin beam with degrading hysteresis behavior ⋮ On a problem for a nonlocal mixed-type equation of fractional order with degeneration ⋮ On the solvability of the Dirichlet problem for the heat equation in a degenerating domain ⋮ On a Cauchy type problem for a second kind degenerating hyperbolic equation ⋮ On the solvability of heat boundary value problems in Sobolev spaces

Cites Work

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• On representation of a solution to a modified Cauchy problem
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