Scattering for the critical and localised semilinear wave equation

DOI10.1016/j.na.2010.11.028zbMath1211.35197OpenAlexW1966870851MaRDI QIDQ631690

Ahmed Bchatnia

Publication date: 14 March 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.11.028

zbMATH Keywords

convex obstaclegeneralized Strichartz estimates

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Critical exponents in context of PDEs (35B33) Scattering theory for PDEs (35P25) Second-order semilinear hyperbolic equations (35L71)

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

Cites Work

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• Exponential decay of the local energy for the solutions of critical wave equations outside a convex obstacle
• Scattering theory in the energy space for a class of nonlinear wave equations
• Ein nichtlinearer Interpolationssatz und seine Anwendung auf nichtlineare Wellengleichungen
• Decay estimates for the critical semilinear wave equation
• Regularity results for nonlinear wave equations
• Scattering and exponential decay of the local energy for the solutions of semilinear and subcritical wave equation outside convex obstacle
• High Frequency Approximation of Solutions to Critical Nonlinear Wave Equations
• Global strichartz estimates for nonthapping perturbations of the laplacian
• On the Critical Semilinear Wave Equation Outside Convex Obstacles
• Scattering theory
• Profile decomposition for the wave equation outside a convex obstacle

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