QUINTIC NLS IN THE EXTERIOR OF A STRICTLY CONVEX OBSTACLE

Rowan Killip; Monica Visan; Xiaoyi Zhang

doi:10.1353/ajm.2016.0039

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QUINTIC NLS IN THE EXTERIOR OF A STRICTLY CONVEX OBSTACLE

Journal article

Peer reviewed

QUINTIC NLS IN THE EXTERIOR OF A STRICTLY CONVEX OBSTACLE

Rowan Killip, Monica Visan and Xiaoyi Zhang

American journal of mathematics, Vol.138(5), pp.1193-1346

10/01/2016

DOI: 10.1353/ajm.2016.0039

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Abstract

We consider the defocusing energy-critical nonlinear Schrodinger equation in the exterior of a smooth compact strictly convex obstacle in three dimensions. For the initial-value problem with Dirichlet boundary condition we prove global well-posedness and scattering for all initial data in the energy space.

Mathematics

Physical Sciences

Science & Technology

Details

Title: Subtitle: QUINTIC NLS IN THE EXTERIOR OF A STRICTLY CONVEX OBSTACLE
Creators: Rowan Killip - Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90024 USA
Monica Visan - Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90024 USA
Xiaoyi Zhang - Univ Iowa, Dept Math, Iowa City, IA 52242 USA
Resource Type: Journal article
Publication Details: American journal of mathematics, Vol.138(5), pp.1193-1346
DOI: 10.1353/ajm.2016.0039
ISSN: 0002-9327
eISSN: 1080-6377
Publisher: JOHNS HOPKINS UNIV PRESS
Number of pages: 154
Grant note: Simons Collaboration Grant Sloan Foundation DMS-1001531; DMS-0901166; DMS-1161396 / NSF
Language: English
Date published: 10/01/2016
Academic Unit: Mathematics
Record Identifier: 9984241039102771

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