The heat equation for singular Dunkl–Laplacian operator
Bekbolat B. Tokmagambetov N.
1 October 2025Walter de Gruyter GmbH
Georgian Mathematical Journal
2025#32Issue 5789 - 798 pp.
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.
direct problem , Dunkl operator , heat equation , inverse source problem , singular Laplacian
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Centre de Recerca Matemática, Edifici C, Campus Bellaterra, Bellaterra, 08193, Spain
Institute of Mathematics and Mathematical Modeling, 28 Schevchenko str., Almaty, 050010, Kazakhstan
Al-Farabi Kazakh National University, 71 Al-Farabi ave., Almaty, 050040, Kazakhstan
SDU University, Kaskelen, Kazakhstan
Centre de Recerca Matemática
Institute of Mathematics and Mathematical Modeling
Al-Farabi Kazakh National University
SDU University
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