Problem with a Bitsadze-Samarskii condition on parallel characteristics for a mixed type equation of the second kind

DOI10.1134/S0012266121100104zbMath1480.35300OpenAlexW4200526689WikidataQ115249169 ScholiaQ115249169MaRDI QIDQ2064230

M. Mirsaburov, N. B. Islomov

Publication date: 5 January 2022

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266121100104

zbMATH Keywords

internal characteristicsTricomi conditionboundary characteristics

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)

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A boundary value problem with a conormal derivative for a mixed-type equation of the second kind with a conjugation condition of the Frankl type

Cites Work

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• Formulation of boundary-value problems for an equation of mixed type with degeneracy of second kind on the boundary of an infinite domain
• A boundary value problem for a class of mixed equations with the Bitsadze--Samarskii condition on parallel characteristics
• On the Tricomi problem for a mixed-type equation of the second kind
• A nonlocal boundary-value problem with the Bitsadze-Samarskii conditon for a parabolic-hyperbolic equation of the second kind
• Analogue of Bitsadze - Samarskii problem for a class of parabolic-hyperbolic equation of second kind