Elastic waves in exterior domains, Part II: Global existence with a null structure

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dc.creatorMetcalfe, Jason
dc.creatorThomases, Becca
dc.date2006-05-04
dc.date.accessioned2026-07-07T07:13:54Z
dc.date.available2026-07-07T07:13:54Z
dc.descriptionIn this article, we prove that solutions to a problem in nonlinear elasticity corresponding to small initial displacements exist globally in the exterior of a nontrapping obstacle. The medium is assumed to be homogeneous, isotropic, and hyperelastic, and the nonlinearity is assumed to satisfy a null condition. The techniques contained herein would allow for more complicated geometries provided that there is a sufficient decay of local energy for the linearized problem.
dc.identifierhttps://arxiv.org/abs/math/0605110
dc.identifierhttp://arxiv.org/abs/math/0605110
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112653
dc.subjectAnalysis of PDEs
dc.subject35L70, 74B20
dc.titleElastic waves in exterior domains, Part II: Global existence with a null structure
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