ASYMPTOTICS OF THE CRITICAL NONLINEAR WAVE EQUATION FOR A CLASS OF NON-STAR-SHAPED OBSTACLES

DOI10.1142/S0219891613500173zbMath1277.35235arXiv1206.0272OpenAlexW2963271377WikidataQ115245232 ScholiaQ115245232MaRDI QIDQ2857733

Farah Abou Shakra

Publication date: 5 November 2013

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.0272

zbMATH Keywords

scatteringilluminated from exteriormethod of multipliers

Mathematics Subject Classification ID

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

Related Items (5)

Scattering for critical radial Neumann waves outside a ball ⋮ About the wave equation outside two strictly convex obstacles ⋮ Asymptotics of wave models for non star-shaped geometries ⋮ On 2D nonlinear Schrödinger equation on non-trapping exterior domains ⋮ Scattering to a stationary solution for the superquintic radial wave equation outside an obstacle

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• High Frequency Approximation of Solutions to Critical Nonlinear Wave Equations
• Exponential decay of solutions of the wave equation in the exterior of a star‐shaped obstacle
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