A note on time-asymptotic bounds with a sharp algebraic rate and a transitional exponent for the sublinear Fujita problem
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866912115603800064 |
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| author | Needham, David John Meyer, John Christopher |
| author_facet | Needham, David John Meyer, John Christopher |
| contents | This note establishes sharp time-asymptotic algebraic rate bounds for the classical evolution problem of Fujita, but with sublinear rather than superlinear exponent. A transitional stability exponent is identified, which has a simple reciprocity relation with the classical Fujita critical blow-up exponent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_07437 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on time-asymptotic bounds with a sharp algebraic rate and a transitional exponent for the sublinear Fujita problem Needham, David John Meyer, John Christopher Analysis of PDEs 35B40, 35K57, 35B35 This note establishes sharp time-asymptotic algebraic rate bounds for the classical evolution problem of Fujita, but with sublinear rather than superlinear exponent. A transitional stability exponent is identified, which has a simple reciprocity relation with the classical Fujita critical blow-up exponent. |
| title | A note on time-asymptotic bounds with a sharp algebraic rate and a transitional exponent for the sublinear Fujita problem |
| topic | Analysis of PDEs 35B40, 35K57, 35B35 |
| url | https://arxiv.org/abs/2411.07437 |