Journal article
DYNAMICS FOR THE ENERGY CRITICAL NONLINEAR WAVE EQUATION IN HIGH DIMENSIONS
Transactions of the American Mathematical Society, Vol.363(3), pp.1137-1160
03/01/2011
DOI: 10.1090/S0002-9947-2010-04999-2
Abstract
T. Duyckaerts and F. Merle (2008) studied the variational structure near the ground state solution W of the energy critical wave equation and classified the solutions with the threshold energy E(1,17, 0) in dimensions d = 3, 4, 5. In this paper, we extend the results to all dimensions d >= 6. The main issue in high dimensions is the non-Lipschitz continuity of the nonlinearity which we get around by making full use of the decay property of W.
Details
- Title: Subtitle
- DYNAMICS FOR THE ENERGY CRITICAL NONLINEAR WAVE EQUATION IN HIGH DIMENSIONS
- Creators
- Dong Li - University of IowaXiaoyi Zhang - Chinese Academy of Sciences
- Resource Type
- Journal article
- Publication Details
- Transactions of the American Mathematical Society, Vol.363(3), pp.1137-1160
- DOI
- 10.1090/S0002-9947-2010-04999-2
- ISSN
- 0002-9947
- eISSN
- 1088-6850
- Publisher
- American Mathematical Society
- Number of pages
- 24
- Grant note
- DMS-0635607; 10601060; 0908032 / National Science Foundation; National Science Foundation (NSF) project 973 in China; National Basic Research Program of China University of Iowa Alfred P. Sloan fellowship; Alfred P. Sloan Foundation Mathematics Department of the University of Iowa
- Language
- English
- Date published
- 03/01/2011
- Academic Unit
- Mathematics
- Record Identifier
- 9984240870702771
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