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math-ph2010★ 1 cited
Scattering of Solitons for Dirac Equation Coupled to a Particle
A. Komech, E. Kopylova, H. Spohn
We establish soliton-like asymptotics for finite energy solutions to the Dirac equation coupled to a relativistic particle. Any solution with initial state close to the solitary ma…
math-ph2010★ 1 cited
On long-time decay for modified Klein-Gordon equation
Elena Kopylova
We obtain a dispersive long-time decay in weighted energy norms for solutions of the Klein-Gordon equation in a moving frame. The decay extends the results of Jensen, Kato and Mura…