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20052026
most citedDispersion Estimates for One-dimensional Discrete Schrödinger and Wave Equations

48 citations · 245 across the 41 of their papers we have counts for

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Showing 2013Show all

3 papers · 1 filter

math.AP2013

Weighted energy decay for magnetic Klein-Gordon equation

Alexander Komech, Elena Kopylova

We obtain a dispersive long-time decay in weighted energy norms for solutions of 3D Klein-Gordon equation with magnetic and scalar potentials. The decay extends the results obtaine…

math.AP2013

Dispersion estimates for 1D discrete equations

E. Kopylova

We derive the dispersion decay for solutions of the 1D discrete Schroedinger and wave equations. Based on previous works, we weaken the conditions on potentials.

math.AP2013★ 23 cited

On eigenfunction expansion of solutions to the Hamilton equations

Alexander Komech, Elena Kopylova

We establish a spectral representation for solutions to linear Hamilton equations with positive definite energy in a Hilbert space. Our approach is a special version of M. Krein's…