Large time behaviour of the fractional heat equation associated with the Dunkl Laplacian
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866912968433729536 |
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| author | Mukherjee, Suman |
| author_facet | Mukherjee, Suman |
| contents | We consider the fractional heat equation associated with the Dunkl Laplacian and prove that the weak solutions to this equation converge to the fundamental solution as time becomes large, provided the initial data is an integrable function with respect to the associated measure. As an application, we also prove a similar result for the corresponding nonlinear equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_15275 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Large time behaviour of the fractional heat equation associated with the Dunkl Laplacian Mukherjee, Suman Analysis of PDEs 35B40, 42B37, 35R11, 35K55 We consider the fractional heat equation associated with the Dunkl Laplacian and prove that the weak solutions to this equation converge to the fundamental solution as time becomes large, provided the initial data is an integrable function with respect to the associated measure. As an application, we also prove a similar result for the corresponding nonlinear equation. |
| title | Large time behaviour of the fractional heat equation associated with the Dunkl Laplacian |
| topic | Analysis of PDEs 35B40, 42B37, 35R11, 35K55 |
| url | https://arxiv.org/abs/2603.15275 |