Exponential decay of the local energy for the solutions of critical wave equations outside a convex obstacle

DOI10.1016/J.INDAG.2012.04.001zbMath1273.35015OpenAlexW2044625761MaRDI QIDQ441340

Ahmed Bchatnia

Publication date: 23 August 2012

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2012.04.001

zbMATH Keywords

exponential decaymicrolocal defect measurescritical wave

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Cauchy-Kovalevskaya theorems (35A10)

Related Items (3)

Decay of the local energy for the solutions of the critical Klein-Gordon equation ⋮ 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

Cites Work

• Unnamed Item
• Unnamed Item
• Singularities and energy decay in acoustical scattering
• Scattering for the critical and localised semilinear wave equation
• Stabilization of the wave equation in an exterior domain
• Remarks on the decay of the local energy for semilinear wave equation
• Superexponential decay of solutions of a semilinear wave equation
• Scattering and exponential decay of the local energy for the solutions of semilinear and subcritical wave equation outside convex obstacle
• Decay and asymptotics for \(\square u = F(u)\)
• Microlocal defect measures
• High Frequency Approximation of Solutions to Critical Nonlinear Wave Equations
• On the Critical Semilinear Wave Equation Outside Convex Obstacles
• Time decay for the nonlinear Klein-Gordon equation
• Profile decomposition for the wave equation outside a convex obstacle

This page was built for publication: Exponential decay of the local energy for the solutions of critical wave equations outside a convex obstacle