Decay estimates for nonlocal problems via energy methods
Abstract: In this talk we study the applicability of energy methods to obtain bounds for the asymptotic decay of solutions to nonlocal diffusion problems. With these energy methods we can deal with nonlocal problems that not necessarily involve a convolution, that is, of the form

For example, we will consider equations like,
,
and a nonlocal analogous to the p-Laplacian,
.
We obtain decay rates of the form

for some explicit exponentthat depends on the parameters,
, according to the problem under
consideration.