The semilinear wave equation on asymptotically euclidean manifolds

Simple item page
dc.creatorBony, Jean-Francois
dc.creatorHafner, Dietrich
dc.date2008-10-02
dc.date.accessioned2026-07-07T10:07:09Z
dc.date.available2026-07-07T10:07:09Z
dc.descriptionWe consider the quadratically semilinear wave equation on R^d, d>=3, equipped with a Riemannian metric. This metric is non-trapping and approaches the Euclidean metric polynomially at infinity. Using Mourre estimates and the Kato theory of smoothness, we obtain a Keel-Smith-Sogge type inequality for the linear equation. Thanks to this estimate, we prove long time existence (d=3) and global existence (d>3) for the nonlinear problem with small initial data.
dc.description40 pages
dc.identifierhttps://arxiv.org/abs/0810.0464
dc.identifierhttp://arxiv.org/abs/0810.0464
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170533
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35L70; 35P25; 58J45
dc.titleThe semilinear wave equation on asymptotically euclidean manifolds
dc.typetext

Files

Collections

arXiv