Some remarks on the local energy decay of solutions of the initial- boundary value problem for the wave equation in unbounded domains

DOI10.1016/0022-0396(77)90123-1zbMath0337.35046OpenAlexW2022441619MaRDI QIDQ1230036

Homer F. Walker

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0022-0396(77)90123-1

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Wave equation (35L05)

Related Items (6)

Remark on an elastic plate interacting with a gas in a semi-infinite tube: periodic solutions ⋮ Local energy decay of the wave equation in an exterior problem and without resonance in the neighborhood of the real line ⋮ Incompressible limits and propagation of acoustic waves in large domains with boundaries ⋮ L2-blowup estimates of the wave equation and its application to local energy decay ⋮ Weighted energy estimates for wave equations in exterior domains ⋮ Unnamed Item

Cites Work

• Unnamed Item
• The decay of solutions of the initial-boundary value problem for the wave equation in unbounded regions
• The decay of solutions of the exterior initial-boundary value problem for the wave equation
• The wave equation in exterior domains
• An example of slow decay of the solution of the initial-boundary value problem for the wave equation in unbounded regions
• Exponential decay of solutions of the wave equation in the exterior of a star‐shaped obstacle
• The limiting amplitude principle
• Solutions of the wave equation with localized energy
• Scattering theory

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