A Modified Cauchy Problem With Nonlocal Boundary Condition for a Degenerate Hyperbolic Equation
ABSTRACT A new class of initial‐boundary value problems with nonlocal conditions on the Newton potential for the case of a hyperbolic equation with characteristic degeneration were set and studied. The a priori estimates of Sobolev norms for the solutions are established. Moreover, some estimates for the standard Bessel functions were established.
Authors
- Т. Ш. Кальменов (ORCID: https://orcid.org/0000-0002-1821-2015)
- Nurbek Kakharman (ORCID: https://orcid.org/0000-0002-1361-5552)
Institutions
- Al-Farabi Kazakh National University (KZ)
- Institute of Mathematics and Mathematical Modeling (KZ)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-02-13
- DOI
- https://doi.org/10.1002/mma.10800
- Citations
- 1
- Primary Topic
- Differential Equations and Boundary Problems
- Type
- article
- Field-Weighted Citation Impact
- 3.73