On Some Eigenvalue Problems Related to the Wave Equation with Indefinite Damping

Some remarks on global existence to the

Some remarks on global existence to the Cauchy problem of the wave equation with nonlinear dissipation

✍ Nour-Eddine Amroun; Abbès Benaissa 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 160 KB 👁 1 views

## Abstract In this paper we prove the existence of global decaying __H__^2^ solutions to the Cauchy problem for a wave equation with a nonlinear dissipative term by constructing a stable set in __H__^1^(ℝ^__n__^ ). (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)