activity
20102024
most citedOn non-local variational problems with lack of compactness related to non-linear optics

22 citations · 49 across the 11 of their papers we have counts for

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Showing 2015Show all

2 papers · 1 filter

math.AP2015

Thresholds for Existence of dispersion management solitons for general nonlinearities

Mi-Ran Choi, Dirk Hundertmark, Young-Ran Lee

We prove a threshold phenomenon for the existence of solitary solutions of the dispersion management equation for positive and zero average dispersion for a large class of nonlinea…

math-ph2015★ 10 cited

Ballistic Transport for the Schrödinger Operator with Limit-Periodic or Quasi-periodic Potential in Dimension Two

Yulia Karpeshina, Young-Ran Lee, Roman Shterenberg +1

We prove the existence of ballistic transport for the Schrödinger operator with limit-periodic or quasi-periodic potential in dimension two. This is done under certain regularity a…