The lifespan for 3-dimensional quasilinear wave equations in exterior domains

DOI10.1515/FORUM-2012-0049zbMath1310.35173arXiv1204.4689OpenAlexW2328913840MaRDI QIDQ470241

Jason Metcalfe, John Helms

Publication date: 12 November 2014

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.4689

zbMATH Keywords

exterior domainsmall initial datalocal energy decay

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Blow-up in context of PDEs (35B44) Second-order quasilinear hyperbolic equations (35L72)

Related Items (4)

Lifespan of classical solutions to semilinear Neumann-wave equations ⋮ Long-time existence for systems of quasilinear wave equations ⋮ Lifespan of classical solutions to quasilinear wave equations outside of a star-shaped obstacle in four space dimensions ⋮ Global existence for systems of quasilinear wave equations in (1 + 4)-dimensions

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