A problem with displacement on internal characteristics in an unbounded domain for the Gellerstedt equation with a singular coefficient

DOI10.3103/S1066369X22090079OpenAlexW4319706449MaRDI QIDQ2688326

U. M. Mirsaburova

Publication date: 2 March 2023

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

Full work available at URL: https://doi.org/10.3103/s1066369x22090079

zbMATH Keywords

Wiener-Hopf equationdisplacement condition on internal characteristicsnon-Fredholm operator in noncharacteristic part of equationTricomi singular integral equation with displacement in ``nonsingular part of kernel

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

The problem in the unbounded domain with the Frankl condition on the segment of the degeneration line and with a missing Gellerstedt condition for a class of mixed-type equations

Cites Work

• Problem with shifts in interior characteristics for equations of mixed elliptic-hyperbolic type with a singular coefficient
• Combined problem with the Tricomi condition and a shift condition on internal characteristics 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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item