Solvability of one boundary value problem for a mixed-type equation

DOI10.1063/1.5013973zbMath1465.35315OpenAlexW2775553432MaRDI QIDQ5002434

E. I. Moiseev, A. A. Kholomeeva, Tikhon Moiseev

Publication date: 27 July 2021

Published in: AIP Conference Proceedings (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5013973

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Gellerstedt problem with a generalized Frankl matching condition on the type change line with data on external characteristics
• Analog of the Gellerstedt problem for the Lavrent'ev-Bitsadze equation in a 3D domain
• Gellerstedt problem with nonclassical matching conditions for the solution gradient on the type change line with data on internal characteristics
• Solution of a Gellerstedt problem for the Lavrent'ev-Bitsadze equation
• On the nonuniqueness of the solution of a mixed boundary value problem for the Laplace equation
• Integral representation of the solution of a Gellerstedt problem

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