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- W2142855191 abstract "Abstract We consider a U ( 1 ) -invariant nonlinear Klein–Gordon equation in dimension n ⩾ 1 , self-interacting via the mean field mechanism. We analyze the long-time asymptotics of finite energy solutions and prove that, under certain generic assumptions, each solution converges as t → ± ∞ to the two-dimensional set of all “nonlinear eigenfunctions” of the form ϕ ( x ) e − i ω t . This global attraction is caused by the nonlinear energy transfer from lower harmonics to the continuous spectrum and subsequent dispersive radiation." @default.
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- W2142855191 date "2009-06-01" @default.
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- W2142855191 title "Global attraction to solitary waves for Klein–Gordon equation with mean field interaction" @default.
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