BOUNDARY VALUE PROBLEM WITH A NONLOCAL BOUNDARY CONDITION OF INTEGRAL FORM FOR A MULTIDIMENSIONAL EQUATION OF IV ORDER

DOI10.18287/2541-7525-2021-27-1-15-28zbMath1494.35110OpenAlexW4286545245MaRDI QIDQ5089867

V. B. Dmitriev

Publication date: 15 July 2022

Published in: Vestnik of Samara University. Natural Science Series (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vsgu644

zbMATH Keywords

existenceinitial-boundary value problemuniquenessBoussinesq equationregular solutionsnonlocal conditionintegral boundary conditionshigher-order equation

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Pseudohyperbolic equations (35L82) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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• Boundary value problems with integral conditions for multidimensional hyperbolic equations
• On the solvability of boundary value problems with a nonlocal boundary condition of integral form for multidimensional hyperbolic equations

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