This paper is concerned with the existence and uniform decay rates of solutions of the waveequation with a sourceterm and subject to nonlinear boundary damping ? ? u u =-u- u in ? x(0, +?) ? tt ? ? ? ? u=0 on ? x(0, +?) 0 (1. 1) ? ? u+g(u)=0 on ? x(0, +?) ? t 1 ? ? ? ? 0 1 u(x,0) = u (x); u (x,0) = u (x), x? ?, t n where ? is a bounded domain of R, n? 1, with a smooth boundary ? = ? . 0 1 Here, ? and ? are closed and disjoint and ? represents the unit outward normal 0 1 to ?. Problems like (1. 1), more precisely, ? u u =?f (u)in? x(0, +?) ? tt 0 ? ? ? ? u=0 on ? x(0, +?) 0 (1. 2) ? ? u =?g(u...
This paper is concerned with the existence and uniform decay rates of solutions of the waveequation with a sourceterm and subject to nonlinear boundar...
