Artículo

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

Cortázar, Carmen; Quirós, Fernando; Wolanski, Noemi IreneIcon
Fecha de publicación: 07/2021
Editorial: American Institute of Mathematical Sciences
Revista: Mathematics In Engineering
ISSN: 2640-3501
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

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.
Palabras clave: CAPUTO DERIVATIVE , FRACTIONAL LAPLACIAN , FULLY NONLOCAL HEAT EQUATIONS , HEAT EQUATION WITH NONLOCAL TIME DERIVATIVE , LARGE-TIME BEHAVIOR
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution 2.5 Unported (CC BY 2.5)
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
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Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
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
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