Fractal and Fractional (Nov 2024)
The Diffusion Equation Involving the Dunkl–Laplacian Operator in a Punctured Domain
Abstract
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.
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