A mixed problem with Tricomi and Frankl conditions for the Gellerstedt equation with a singular coefficient

DOI10.3103/S1066369X13070025zbMath1277.35260MaRDI QIDQ384251

Gulbakhor M. Mirsaburova

Publication date: 27 November 2013

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

indexWiener-Hopf equationuniqueness of solutionresidueTricomi singular integral equationgluing conditionisolated singularity of the first order

Mathematics Subject Classification ID

PDEs of mixed type (35M10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

Problem with an analog of the Frankl condition on the boundary characteristic and general transmission conditions on the degeneration segment for a class of mixed type equations ⋮ 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 ⋮ On a problem with shift for degenerate equation of mixed type

Cites Work

• Unnamed Item
• A problem with conditions analogous to Frankl' and Bitsadze-Samarskii ones for the Gellerstedt equation
• A problem with a nonlocal boundary condition on the characteristic for a class of equations of mixed type
• A problem with a Frankl condition on the boundary of the ellipticity domain for the Gellerstedt equation with a singular coefficient
• A combination of the Tricomi problem and a boundary-value problem with a shift for the Gellerstedt equation

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