22 citations · 49 across the 11 of their papers we have counts for
4 papers · 1 filter
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…
Exponential decay of dispersion managed solitons for vanishing average dispersion
M. Burak Erdogan, Dirk Hundertmark, Young-Ran Lee
We show that any solution of the Gabitov-Turitsyn equation describing dispersion managed solitons decay exponentially in space and frequency domains. This confirms in the aff…
Spectral properties of a limit-periodic Schrödinger operator in dimension two
Yulia Karpeshina, Young-Ran Lee
We study Schrödinger operator in dimension two, being a limit-periodic potential. We prove that the spectrum of contains a semiaxis and there is a family of…
On non-local variational problems with lack of compactness related to non-linear optics
Dirk Hundertmark, Young-Ran Lee
We give a simple proof of existence of solutions of the dispersion manage- ment and diffraction management equations for zero average dispersion, respectively diffraction. These so…