Artículo

Decay/growth rates for inhomogeneous heat equations with memory. The case of large dimensions

 Cortázar, Carmen ; Quirós, Fernando Icon; Wolanski, Noemi Irene Icon

Otros responsables

Fecha

07/2021

Editorial

American Institute of Mathematical Sciences

Revista

Mathematics In Engineering

Título del libro

Nombre del evento

Fecha del evento

Institución organizadora

ISSN

2640-3501

eISSN

ISBN

Idioma

Inglés

Tipo del evento

Clasificación temática

Matemática Pura

Palabras clave

CAPUTO DERIVATIVE , FRACTIONAL LAPLACIAN , FULLY NONLOCAL HEAT EQUATIONS , HEAT EQUATION WITH NONLOCAL TIME DERIVATIVE , LARGE-TIME BEHAVIOR

Resumen

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.

URI

http://hdl.handle.net/11336/167085

Colecciones

Articulos(IMAS)

Aprobación

Revisión

Complementado por

Referenciado por

Licencia Creative Commons

by
Excepto donde se indique lo contrario, la licencia de este ítem se describe como by
Archivos asociados
Miniatura

Archivos

Principal CONICET_Digital_Nro.c2931444-16b6-41aa-8aef-aa6f20224a04_B.pdf (334.99 KB)
Identificadores
URI: http://hdl.handle.net/11336/167085
DOI: https://doi.org/10.3934/mine.2022022
URL: https://www.aimspress.com/article/doi/10.3934/mine.2022022
Citación
Cortázar, Carmen; Quirós, Fernando; Wolanski, Noemi Irene; Decay/growth rates for inhomogeneous heat equations with memory. The case of large dimensions; American Institute of Mathematical Sciences; Mathematics In Engineering; 4; 3; 7-2021; 1-17
Altmétricas