Large Time Behavior of a Nonlocal Diffusion Equation with Absorption and Bounded Initial Data

Joana Terra, Noemi Wolanski

We study the large time behavior of nonnegative solutions of the Cauchy problem $u_t=\int J(x-y)(u(y,t)-u(x,t))dy-u^p$, $u(x,0)=u_0(x)\in L^{\infty }$, where $|x{|}^{\alpha }{u}_0(x)\to A>0$ as…