55 citations · 88 across the 10 of their papers we have counts for
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math.AP2006★ 55 cited
Global attractor for a nonlinear oscillator coupled to the Klein-Gordon field
Alexander Komech, Andrew Komech
The long-time asymptotics is analyzed for all finite energy solutions to a model U(1)-invariant nonlinear Klein-Gordon equation in one dimension, with the nonlinearity concentrated…
math.AP2006★ 2 cited
On Global Attraction to Solitary Waves for the Klein-Gordon Equation Coupled to Nonlinear Oscillator
Alexander Komech, Andrew Komech
The long-time asymptotics is analyzed for all finite energy solutions to a model U(1)-invariant nonlinear Klein-Gordon equation in one dimension, with the nonlinearity concentrated…
math.AP2006★ 27 cited
Global well-posedness for the Schroedinger equation coupled to a nonlinear oscillator
Alexander Komech, Andrew Komech
The Schroedinger equation with the nonlinearity concentrated at a single point proves to be an interesting and important model for the analysis of long-time behavior of solutions,…