Elastic Waves in Exterior Domains Part II: Global Existence with a Null Structure
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Publication:5428075
DOI10.1093/IMRN/RNM034zbMath1128.35024arXivmath/0605110OpenAlexW2089240305MaRDI QIDQ5428075
Becca Thomases, Jason Metcalfe
Publication date: 28 November 2007
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0605110
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elasticity (74B20) Nonlinear waves in solid mechanics (74J30)
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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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