Resolvent and Strichartz estimates for elastic wave equations

DOI10.1016/j.aml.2015.04.013zbMath1381.35173OpenAlexW2019320265MaRDI QIDQ289374

Nicola Visciglia, Maricruz Vilela, Luca Fanelli, Juan Antonio Barceló, Alberto Ruiz

Publication date: 30 May 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.04.013

zbMATH Keywords

Helmholtz equationelastic wavesStrichartz estimatesLamé operator

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Linear waves in solid mechanics (74J05) PDEs in connection with mechanics of deformable solids (35Q74) Initial value problems for second-order hyperbolic systems (35L52)

Related Items (6)

Strichartz and uniform Sobolev inequalities for the elastic wave equation ⋮ Spectral enclosures for the damped elastic wave equation ⋮ Dissipative higher order hyperbolic equations ⋮ Strichartz estimates and local regularity for the elastic wave equation with singular potentials ⋮ Uniform resolvent estimates and absence of eigenvalues for Lamé operators with complex potentials ⋮ Eigenvalue bounds and spectral stability of Lamé operators with complex potentials

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