Decay estimates for a nonlocal p-Laplacian evolution problem with mixed boundary conditions

Abstract

In this paper we prove decay estimates for solutions to a nonlocal p-Laplacian evolution problem with mixed boundary conditions, that is, (Formula presented.) for (x, t) ∈ Ω × ℝ+ and u(x, t) = 0 in Ω0 × ℝ+. The proof of these estimates is based on bounds for the associated first eigenvalue.