On unique solvability of a nonlocal boundary-value problem for a loaded multidimensional Chaplygin's equation in the Sobolev space

DOI10.1134/S1995080220010035zbMath1450.35122OpenAlexW3016099819MaRDI QIDQ2206995

S. Z. Dzhamalov, Ravshan Ashurov, Sabir R. Umarov

Publication date: 27 October 2020

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

Full work available at URL: https://doi.org/10.1134/s1995080220010035

zbMATH Keywords

successive approximation

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Integro-partial differential equations (35R09) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

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Cites Work

• The Dirichlet problem for a loaded mixed-type equation in a rectangular domain
• A linear inverse problem for a multidimensional mixed-type second-order equation of the first-kind
• On the solvability of boundary-value problems with continuous and generalized gluing conditions for the equation of mixed type with loaded term
• On a Frankl-type problem for a mixed parabolic-hyperbolic equation
• Initial-boundary problem for parabolic-hyperbolic equation with loaded summands
• On a nonlocal boundary value problem for Chaplygin's loaded equation in a rectangle
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