The Focusing Cubic NLS on Exterior Domains in Three Dimensions

Rowan Killip; Monica Visan; Xiaoyi Zhang

doi:10.1093/amrx/abv012

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The Focusing Cubic NLS on Exterior Domains in Three Dimensions

Journal article

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The Focusing Cubic NLS on Exterior Domains in Three Dimensions

Rowan Killip, Monica Visan and Xiaoyi Zhang

Applied mathematics research express, Vol.2016(1), pp.146-180

2016

DOI: 10.1093/amrx/abv012

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Abstract

We consider the focusing cubic nonlinear Schrödinger equation (NLS) in the exterior Ω of a smooth, compact, strictly convex obstacle in three dimensions. We prove that the threshold for global existence and scattering is the same as for the problem posed on Euclidean space. Specifically, we prove that if E(u0)M(u0)

Details

Title: Subtitle: The Focusing Cubic NLS on Exterior Domains in Three Dimensions
Creators: Rowan Killip - University of California, Los Angeles
Monica Visan - University of California, Los Angeles
Xiaoyi Zhang - University of Iowa
Resource Type: Journal article
Publication Details: Applied mathematics research express, Vol.2016(1), pp.146-180
DOI: 10.1093/amrx/abv012
ISSN: 1687-1200
eISSN: 1687-1197
Language: English
Date published: 2016
Academic Unit: Mathematics
Record Identifier: 9984240773202771

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