Resonances, radiation damping and instabilitym in Hamiltonian nonlinear wave equations
نویسندگان
چکیده
منابع مشابه
Resonances, Radiation Damping and Instability in Hamiltonian Nonlinear Wave Equations
We consider a class of nonlinear Klein-Gordon equations which are Hamiltonian and are perturbations of linear dispersive equations. The unperturbed dynamical system has a bound state, a spatially localized and time periodic solution. We show that, for generic nonlinear Hamiltonian perturbations, all small amplitude solutions decay to zero as time tends to infinity at an anomalously slow rate. I...
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ژورنال
عنوان ژورنال: Inventiones Mathematicae
سال: 1999
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s002220050303