Decay estimates of solutions for dissipative wave equations in \bm{R}^N with lower power nonlinearities

Abstract

Optimal energy decay estimates will be derived for weak solutions to the Cauchy problem in \bm{R}^N (N=1, 2, 3) of dissipative wave equations, which have lower power nonlinearities |u|^p-1u satisfying 1+2/N<p≤ N/[N-2]⁺.