The Diffusion Equation Involving the Dunkl–Laplacian Operator in a Punctured Domain
Bekbolat B. Nalzhupbayeva G. Tokmagambetov N.
December 2024Multidisciplinary Digital Publishing Institute (MDPI)
Fractal and Fractional
2024#8Issue 12
The purpose of this paper is to establish solvability results for both direct and inverse problems associated with the diffusion equation involving the Dunkl–Laplacian operator in a punctured domain. We demonstrate the existence and uniqueness of solutions for both types of problems. Additionally, explicit formulas for the solutions to the considered problems are derived.
direct problem , Dunkl operator , heat equation , inverse source problem , singular Laplacian
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Institute of Mathematics and Mathematical Modeling, 28 Shevchenko Str., Almaty, 050010, Kazakhstan
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Institute of Mathematics and Mathematical Modeling
Centre de Recerca Matemática
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