Solvability Conditions for an Initial-boundary Value Problem a Pseudo-hyperbolic Equation with Nonzero Initial Conditions
This paper considers a mixed boundary value problem for a pseudohyperbolic equation in the quarter-plane. Conditions on the boundary functions ensuring correctness in Sobolev spaces with an exponential weight are obtained.
Authors
- V. V. Shemetova (ORCID: https://orcid.org/0000-0002-7280-8717)
Institutions
- Novosibirsk State University (RU)
Publication Details
- Journal
- Lobachevskii Journal of Mathematics
- Published
- 2025-04-01
- DOI
- https://doi.org/10.1134/s1995080225606137
- Primary Topic
- Differential Equations and Boundary Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00