Uniform stabilization of solution
The author proves the exponential decay of solution of the initial-boundary value problem to the equation \(u_{tt}-(\alpha +2\beta \|\nabla u\|_2^2)\triangle u+\delta u=\mu u^3\), \(x\in \Omega \), \(t>0\), satisfying the homogeneous Dirichlet condition on the boundary of \(\Omega \).
scientific article; zbMATH DE number 1682884