The Diffusion Equation Involving the Dunkl-Laplacian Operator in a Punctured Domain
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, e...
| Authors: | , , |
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| Format: | article |
| Publication Date: | 2024 |
| Country: | España |
| Institution: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repository: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2072/482417 |
| Online Access: | http://hdl.handle.net/2072/482417 |
| Access Level: | Open access |
| Keyword: | Dunkl operator Singular Laplacian Heat equation Inverse source problem Direct problem 51 |
| Summary: | 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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