Global dynamics above the ground state for the nonlinear Klein-Gordon equation without a radial assumption
Analysis of PDEs
2015-05-20 v1 Mathematical Physics
math.MP
Abstract
We extend our previous result on the focusing cubic Klein-Gordon equation in three dimensions to the non-radial case, giving a complete classification of global dynamics of all solutions with energy at most slightly above that of the ground state.
Keywords
Cite
@article{arxiv.1011.0132,
title = {Global dynamics above the ground state for the nonlinear Klein-Gordon equation without a radial assumption},
author = {Kenji Nakanishi and Wilhelm Schlag},
journal= {arXiv preprint arXiv:1011.0132},
year = {2015}
}
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40 pages