The sine-Gordon equation in the Semiclassical limit: Critical behavior near a separatrix

We study the Cauchy problem for the sine-Gordon equation in the semiclassical limit with pure-impulse initial data of sufficient strength to generate both high-frequency rotational motion near the peak of the impulse profile and also high-frequency librational motion in the tails. Subject to suitabl...

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Veröffentlicht in:	Journal d'analyse mathématique (Jerusalem) 2012-11, Vol.118 (2), p.397-492
Hauptverfasser:	Buckingham, Robert J., Miller, Peter D.
Format:	Artikel
Sprache:	eng
Schlagworte:	Abstract Harmonic Analysis Analysis Dynamical Systems and Ergodic Theory Functional Analysis Mathematics Mathematics and Statistics Partial Differential Equations
Online-Zugang:	Volltext
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