Global dynamics above the ground state for the nonlinear Klein-Gordon equation without a radial assumption

Details Global dynamics above the ground state for the nonlinear Klein-Gordon equation without a radial assumption Global dynamics above the ground state for the nonlinear Klein-Gordon equation without a radial assumption

2010-10-31

arxiv.org/abs/1011.0132v1

Mathematics

Analysis of PDEs

40 pages

Scientific paper

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.

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