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Elastic waves in exterior domains. Part I. Almost global existence

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Publication:3413409
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DOI10.1155/IMRN/2006/69826zbMath1108.35106OpenAlexW1984316662MaRDI QIDQ3413409

Jason Metcalfe

Publication date: 4 January 2007

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/imrn/2006/69826


zbMATH Keywords

energy estimatesexterior domaininitial boundary value problemisotropic hyperelasticitystar-shaped obstacleWave equation


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05)


Related Items (6)

Long time existence for two-dimension elastic waves ⋮ Global existence for quasilinear wave equations exterior to star-shaped regions with inhomogeneous boundary conditions ⋮ Space-time \(L^{2}\) estimates for elastic waves and applications ⋮ Space-time \(L^{2}\) estimates, regularity and almost global existence for elastic waves ⋮ Unique determination of sound speeds for coupled systems of semi-linear wave equations ⋮ On nonlinear elastic waves in 2-D







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