The third boundary problem for a mixed-type equation with three singular coefficients

DOI10.1134/S1995080223080541OpenAlexW4389103072MaRDI QIDQ6140458

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Publication date: 22 January 2024

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

Full work available at URL: https://doi.org/10.1134/s1995080223080541

zbMATH Keywords

Gauss hypergeometric functionBessel functionsingular coefficientthird boundary value 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)

Cites Work

• Solution of the spatial Tricomi problem for a singular mixed-type equation by the method of integral equations
• Fundamental solutions of homogeneous B-hyperbolic equations
• Spectral properties of solutions of the Tricomi problem for equations of mixed type with two lines of degeneracy, and their applications
• Задача Дирихле для трехмерного уравнения смешанного типа с тремя сингулярными коэффициентами
• Keldysh problem for a three-dimensional equation of mixed type with three singular coefficients in a semi-infinite parallelepiped
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