48 citations · 245 across the 41 of their papers we have counts for
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math-ph2012
On nonlinear wave equations with parabolic potentials
Alexander Komech, Elena Kopylova, Sergey Kopylov
We introduce a new class of piece-wise quadratic potentials for nonlinear wave equations with a kink solutions. The potentials allow an exact description of the spectral properties…
math-ph2012
Weighted decay for magnetic Schroedinger equation
Alexander Komech, Elena Kopylova
We obtain a dispersive long-time decay in weighted norms for solutions of 3D Schroedinger equation with generic magnetic and scalar potentials. The decay extends the results obtain…