55 citations · 88 across the 10 of their papers we have counts for
4 papers · 1 filter
On global attraction to solitary waves for the Klein-Gordon field coupled to several nonlinear oscillators
Alexander Komech, Andrew Komech
The global attraction is established for all finite energy solutions to a model -invariant nonlinear Klein-Gordon equation in one dimension coupled to a finite numbe…
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…
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…
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,…