Asymptotic profiles for inhomogeneous heat equations with memory
link https://doi.org/10.1007/s00208-023-02707-6account_box Cortazar, Carmenaccount_box Quiros, Fernandoaccount_box Wolanski, Noemi
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We study the large-time behavior in all L-p norms of solutions to an inhomogeneous nonlocal heat equation in R-n involving a Caputo alpha-time derivative and a power beta of the Laplacian when the dimension is large, N > 4 beta. The asymptotic profiles depend strongly on the space-time scale and on the time behavior of the spatial L-1 norm of the forcing term.
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| Autor | Cortazar, Carmen Quiros, Fernando Wolanski, Noemi |
| Título | Asymptotic profiles for inhomogeneous heat equations with memory |
| Revista | Mathematische annalen |
| ISSN | 0025-5831 |
| ISSN electrónico | 1432-1807 |
| Volumen | 389 |
| Número de publicación | 4 |
| Página inicio | 3705 |
| Página final | 3746 |
| Fecha de publicación | 2024 |
| Resumen | We study the large-time behavior in all L-p norms of solutions to an inhomogeneous nonlocal heat equation in R-n involving a Caputo alpha-time derivative and a power beta of the Laplacian when the dimension is large, N > 4 beta. The asymptotic profiles depend strongly on the space-time scale and on the time behavior of the spatial L-1 norm of the forcing term. |
| Derechos | acceso restringido |
| Agencia financiadora | FONDECYT |
| DOI | 10.1007/s00208-023-02707-6 |
| Enlace | |
| Id de publicación en WoS | WOS:001121198200001 |
| Palabra clave | 35B40 35R11 45K05 |
| Tema ODS | 03 Good Health and Well-being |
| Tema ODS español | 03 Salud y bienestar |
| Tipo de documento | artículo |