Fujita exponent and blow-up rate for a mixed local and nonlocal heat equation
In this paper we consider the blow-up problem for a mixed local-nonlocal diffusion operator, ut=aΔu−b(−Δ)su+up. We show that the Fujita exponent is given by the nonlocal part, pF=1+2s/N. We also determinate, in some cases, the blow-up rate.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2024 |
| País: | Uruguay |
| Institución: | Agencia Nacional de Investigación e Innovación |
| Repositorio: | REDI |
| Idioma: | inglés |
| OAI Identifier: | oai:redi.anii.org.uy:20.500.12381/5565 |
| Acceso en línea: | https://hdl.handle.net/20.500.12381/5565 https://doi.org/10.48550/arXiv.2408.01577 |
| Access Level: | acceso embargado |
| Palabra clave: | Fujita exponent Local and nonlocal operators Ciencias Naturales y Exactas Matemáticas |
| Sumario: | In this paper we consider the blow-up problem for a mixed local-nonlocal diffusion operator, ut=aΔu−b(−Δ)su+up. We show that the Fujita exponent is given by the nonlocal part, pF=1+2s/N. We also determinate, in some cases, the blow-up rate. |
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