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arXiv:1112.0710 [math.AP]AbstractReferencesReviewsResources

Global well-posedness and scattering for the defocusing, energy -critical, nonlinear Schr{ö}dinger equation in the exterior of a convex obstacle when $d = 4$

Benjamin Dodson

Published 2011-12-04, updated 2012-05-11Version 2

In this paper we prove that the energy - critical nonlinear Schr{\"o}dinger equation in the domain exterior to a convex obstacle is globally well - posed and scattering for initial data having finite energy. To prove this we utilize frequency localized Morawetz estimates adapted to an exterior domain.

Comments: 32 pages
Categories: math.AP
Subjects: 35Q55
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