Fujita exponent and blow-up rate for a mixed local and nonlocal heat equation
Resumen:
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.
| 2024 | |
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Agencia Nacional de Investigación e Innovación European Union’s Horizon 2020 |
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Fujita exponent Local and nonlocal operators Ciencias Naturales y Exactas Matemáticas |
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| Inglés | |
| Agencia Nacional de Investigación e Innovación | |
| REDI | |
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https://hdl.handle.net/20.500.12381/5565
https://doi.org/10.48550/arXiv.2408.01577 |
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| Acceso embargado | |
| Reconocimiento-SinObraDerivada 4.0 Internacional. (CC BY-NC-ND) |
