An initial-boundary value problem for a pseudohyperbolic equation with nonzero boundary conditions
https://doi.org/10.26907/2949-3919.2024.2.107-121
Abstract
An initial-boundary value problem in a quarter-plane for one pseudohyperbolic equation is considered. We establish conditions for boundary functions ender which the initial-boundary value problem is uniquely solvable in Sobolev spaces with an exponential weight.
Supporting agencies: The research is supported by the Russian Science Foundation (grant no.24-21-00370), https://rscf.ru/project/24-21-00370.
About the Author
V. V. Shemetova
Novosibirsk State University
Russian Federation
Valentina Vladimirovna Shemetova
Russian Federation
Valentina Vladimirovna Shemetova
str., Novosibirsk 630090, Russia
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Review
For citations:
Shemetova V.V. An initial-boundary value problem for a pseudohyperbolic equation with nonzero boundary conditions. Mathematics and Theoretical Computer Science. 2024;2(2):107-121. (In Russ.) https://doi.org/10.26907/2949-3919.2024.2.107-121
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