A problem with the Bitsadze-Samarskii condition on the characteristics of one family and with general transmission conditions on the degeneration line for the Gellerstedt equation with a singular coefficient

DOI10.1134/S001226612008008XzbMath1447.35225OpenAlexW3083237104MaRDI QIDQ2195148

M. Mirsaburov, N. Kh. Khurramov

Publication date: 7 September 2020

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

Full work available at URL: https://doi.org/10.1134/s001226612008008x

zbMATH Keywords

discontinuous transmission conditions

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)

Related Items (2)

Problem with an analog of the Frankl condition on an internal characteristic for an equation of mixed type ⋮ A problem with local and nonlocal conditions on the boundary of the ellipticity domain for a mixed type equation

Cites Work

• A mixed problem with Tricomi and Frankl conditions for the Gellerstedt equation with a singular coefficient
• The problem with missing shift condition for the Gellerstedt equation with a singular coefficient
• A boundary value problem for a class of mixed equations with the Bitsadze--Samarskii condition on parallel characteristics
• A combination of the Tricomi problem and a boundary-value problem with a shift for the Gellerstedt equation
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