We derive a precise decay estimate of the energy of the solutions to the initial boundary value problem for the wave equation with a nonlinear dissipation p(ut), where p(v) is a function like. Since our dissipation is weak as |ut| tends to 1 we treat strong solutions rather than usual energy finite solutions.
|Number of pages||8|
|Journal||Differential and Integral Equations|
|Publication status||Published - 1995|
ASJC Scopus subject areas
- Applied Mathematics