Maximum Regularity of a Third‐Order Singular Nonlinear Equation
ABSTRACT This paper investigates a nonlinear singular third‐order equation with an unbounded coefficient at infinity. The existence and ‐maximal regularity of solutions to the nonlinear equation are established. The method of ‐regularization is applied in proving the existence of solutions. This approach has proven effective in the case of an unbounded domain with an unbounded coefficient.
Authors
- Akbota Abylayeva (ORCID: https://orcid.org/0000-0002-5843-8182)
- Madi Muratbekov
- Mussakan Muratbekov
Institutions
- L. N. Gumilyov Eurasian National University (KZ)
- M. Kh Dulati Taraz State University (KZ)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2026-02-25
- DOI
- https://doi.org/10.1002/mma.70530
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00