Asymptotic profiles for inhomogeneous heat equations with memory
Loading...
Date
2024
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
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.
Description
Keywords
35B40, 35R11, 45K05