@article{Cortázar2022, 
author = {Carmen Cortázar and Fernando Quirós and Noemí Wolanski},
title = {Decay/growth rates for inhomogeneous heat equations with memory. The case of large dimensions},
year = {2022},
journal = {Mathematics in Engineering},
volume = {4},
number = {3},
pages = {1-17},
keywords = {heat equation with nonlocal time derivative, Caputo derivative, fully nonlocal heat equations, fractional Laplacian, large-time behavior},
url = {https://www.sciopen.com/article/10.3934/mine.2022022},
doi = {10.3934/mine.2022022},
abstract = {We study the decay/growth rates in all        L    p   norms of solutions to an inhomogeneous nonlocal heat equation in              R        N   involving a Caputo    α-time derivative and a power    β of the Laplacian when the dimension is large,    N  >  4  β. Rates depend strongly on the space-time scale and on the time behavior of the spatial        L    1   norm of the forcing term.}
}