On the local-energy decay property for the elastic wave equation with the Neumann boundary condition

DOI10.1215/S0012-7094-92-06712-3zbMath0795.35061MaRDI QIDQ1196409

Mishio Kawashita

Publication date: 14 December 1992

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Neumann boundary conditionexterior domainisotropic elastic wave equationuniform local-energy decay property of strong type

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99)

Related Items (9)

On the region free from the poles of the resolvent for the elastic wave equation with the Neumann boundary condition ⋮ Decay of solutions of the elastic wave equation with a localized dissipation ⋮ Distribution of resonances for the Neumann problem in linear elasticity outside a strictly convex body ⋮ Neumann resonances in linear elasticity for an arbitrary body ⋮ Uniqueness and stability for the recovery of a time-dependent source in elastodynamics ⋮ Elastic and electro-magnetic waves in infinite waveguides ⋮ Construction of Rayleigh quasimodes with a large life time ⋮ Unnamed Item ⋮ Unnamed Item

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