1 citations · 1 across the 5 of their papers we have counts for
7 papers
Averaging of dispersion managed nonlinear Schrödinger equations
Mi-Ran Choi, Young-Ran Lee
We consider the dispersion managed power-law nonlinear Schrödinger(DM NLS) equations with a small parameter and the averaged equation, which are used in optical f…
Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities
Dirk Hundertmark, Young-Ran Lee, Tobias Ried +1
A nonlinear Schrödinger equation (NLS) with dispersion averaged nonlinearity of saturated type is considered. Such a nonlocal NLS is of integro-differential type and it arises natu…
Super-exponential decay of Diffraction Managed Solitons
Dirk Hundertmark, Young-Ran Lee
This is the second part of a series of papers where we develop rigorous decay estimates for breather solutions of an averaged version of the non-linear Schrödinger equation. In thi…
Absolutely Continuous Spectrum of a Polyharmonic Operator with a Limit Periodic Potential in Dimension Two
Yulia Karpeshina, Young-Ran Lee
We consider a polyharmonic operator in dimension two with , being an integer, and a limit-periodic potential . We prove that the spectrum contain…
Exponential decay of eigenfunctions and generalized eigenfunctions of a non self-adjoint matrix Schrödinger operator related to NLS
Dirk Hundertmark, Young-Ran Lee
We study the decay of eigenfunctions of the non self-adjoint matrix operator $\calH = (\begin{smallmatrix} -Δ+μ+U & W \W & Δ-μ-U \end{smallmatrix})$, for , corresponding to ei…
Generalized 3G theorem and application to relativistic stable process on non-smooth open sets
Panki Kim, Young-Ran Lee
Let G(x,y) and G_D(x,y) be the Green functions of rotationally invariant symmetric α-stable process in R^d and in an open set D respectively, where 0<α< 2. The inequality G_D(x,y)G…