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arxiv: 1011.0132 · v1 · pith:64IWNUPJnew · submitted 2010-10-31 · 🧮 math.AP · math-ph· math.MP

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

classification 🧮 math.AP math-phmath.MP
keywords abovedynamicsequationglobalgroundklein-gordonstateassumption
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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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