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

We extend our result Nakanishi and Schlag in J. Differ. Equ. 250(5):2299–2333, 2011 ) to the non-radial case, giving a complete classification of global dynamics of all solutions with energy that is at most slightly above that of the ground state for the nonlinear Klein–Gordon equation with the focu...

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Veröffentlicht in:Archive for rational mechanics and analysis 2012-03, Vol.203 (3), p.809-851
Hauptverfasser: Nakanishi, K., Schlag, W.
Format: Artikel
Sprache:eng
Schlagworte:
Classical Mechanics
Complex Systems
Fluid- and Aerodynamics
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
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Zusammenfassung:We extend our result Nakanishi and Schlag in J. Differ. Equ. 250(5):2299–2333, 2011 ) to the non-radial case, giving a complete classification of global dynamics of all solutions with energy that is at most slightly above that of the ground state for the nonlinear Klein–Gordon equation with the focusing cubic nonlinearity in three space dimensions.
ISSN:0003-9527
1432-0673
DOI:10.1007/s00205-011-0462-7