Scattering and exponential decay of the local energy for the solutions of semilinear and subcritical wave equation outside convex obstacle

DOI10.1007/s00209-003-0638-4zbMath1063.35033OpenAlexW2089551368MaRDI QIDQ1762713

Ahmed Bchatnia, Moez Daoulatli

Publication date: 11 February 2005

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-003-0638-4

zbMATH Keywords

wave operatorsStrichartz estimatesMorawetz-type exponential decay estimate

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Wave equation (35L05)

Related Items (6)

Survey on the Decay of the Local Energy for the Solutions of the Nonlinear Wave Equation ⋮ Scattering for the critical and localised semilinear wave equation ⋮ Exponential decay of the local energy for the solutions of critical wave equations outside a convex obstacle ⋮ Local energy decay for the wave equation with a nonlinear time-dependent damping ⋮ Energy decay rates for solutions of the wave equations with nonlinear damping in exterior domain ⋮ Strichartz estimates for the wave equation on manifolds with boundary

This page was built for publication: Scattering and exponential decay of the local energy for the solutions of semilinear and subcritical wave equation outside convex obstacle