Decay/growth rates for inhomogeneous heat equations with memory. The case of large dimensions
We study the decay/growth rates in all Lp norms of solutions to an inhomogeneous nonlocal heat equation in RN involving a Caputo α-time derivative and a power β of the Laplacian when the dimension is large, N > 4β. Rates depend strongly on the space-time scale and on the time behavior of the spat...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad Autónoma de Madrid |
| Repositorio: | Biblos-e Archivo. Repositorio Institucional de la UAM |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.uam.es:10486/704491 |
| Acceso en línea: | http://hdl.handle.net/10486/704491 https://dx.doi.org/10.3934/mine.2022022 |
| Access Level: | acceso abierto |
| Palabra clave: | Caputo derivative Fractional Laplacian Fully nonlocal heat equations Heat equation with nonlocal time derivative Large-time behavior Matemáticas |
| Sumario: | We study the decay/growth rates in all Lp norms of solutions to an inhomogeneous nonlocal heat equation in RN involving a Caputo α-time derivative and a power β of the Laplacian when the dimension is large, N > 4β. Rates depend strongly on the space-time scale and on the time behavior of the spatial L1 norm of the forcing term |
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