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 inhomogeneousnonlocal heat equation in RN involving a Caputo -time derivative and a power of the Laplacianwhen the dimension is large, N > 4. Rates depend strongly on the space-time scale andon the time behavior of the spatial L1...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2021 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/167085 |
| Acceso en línea: | http://hdl.handle.net/11336/167085 |
| Access Level: | acceso abierto |
| Palabra clave: | CAPUTO DERIVATIVE FRACTIONAL LAPLACIAN FULLY NONLOCAL HEAT EQUATIONS HEAT EQUATION WITH NONLOCAL TIME DERIVATIVE LARGE-TIME BEHAVIOR https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | We study the decay/growth rates in all Lp norms of solutions to an inhomogeneousnonlocal heat equation in RN involving a Caputo -time derivative and a power of the Laplacianwhen the dimension is large, N > 4. Rates depend strongly on the space-time scale andon the time behavior of the spatial L1 norm of the forcing term. |
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