31 citations · 33 across the 4 of their papers we have counts for
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Weighted Energy Decay for 1D Dirac Equation
E. Kopylova
We obtain a dispersive long-time decay in weighted energy norms for solutions of the 1D Dirac equation with generic potential. The decay extends the results obtained by Jensen, Kat…
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…
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…
On Convergence to Equilibrium Distribution, I. The Klein - Gordon Equation with Mixing
T. V. Dudnikova, A. I. Komech, E. A. Kopylova +1
Consider the Klein-Gordon equation (KGE) in , , with constant or variable coefficients. We study the distribution of the random solution at time . We as…