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

Carmen Cortázar, Fernando Quirós, Noemí Wolanski

We study the decay/growth rates in all $L^p$ norms of solutions to an inhomogeneous nonlocal heat equation in ${\mathbb{R}}^N$ involving a Caputo $\alpha$-time derivative and a power $\beta$…