Young-Ran Lee

most citedExponential decay of eigenfunctions and generalized eigenfunctions of a non self-adjoint matrix Schrödinger operator related to NLS

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math-ph2008

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…

math-ph2007

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 $H = (- Δ)^{l} + V (x)$ in dimension two with $l \geq 6$ , $l$ being an integer, and a limit-periodic potential $V (x)$ . We prove that the spectrum contain…

math-ph2007★ 1 cited

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 $μ > 0$ , corresponding to ei…