The heat equation for singular Dunkl–Laplacian operator
Abstract The aim of this paper is to investigate the solvability of both direct and inverse problems related to the heat equation involving the Dunkl operator and Laplace operator in a punctured domain. We establish the existence and uniqueness of solutions for both classes of problems. Furthermore, explicit solution formulas for the problems under consideration are derived.
Authors
- Niyaz Tokmagambetov (ORCID: https://orcid.org/0000-0001-5725-9740)
- Bayan Bekbolat (ORCID: https://orcid.org/0000-0003-2347-0630)
Institutions
- Al-Farabi Kazakh National University (KZ)
- Centre de Recerca Matemàtica (ES)
- Institute of Mathematics and Mathematical Modeling (KZ)
Publication Details
- Journal
- Georgian Mathematical Journal
- Published
- 2025-03-28
- DOI
- https://doi.org/10.1515/gmj-2025-2019
- Citations
- 1
- Primary Topic
- Mathematical Analysis and Transform Methods
- Type
- article
- Field-Weighted Citation Impact
- 3.73