3 papers
math.AP2019
On the integrability of the wave propagator arising from the Liouville-von Neumann equation
Youngwoo Koh, Yoonjung Lee, Ihyeok Seo
The Liouville-von Neumann equation describes the change in the density matrix with time. Interestingly, this equation was recently regarded as a wave equation for wave functions bu…
math.AP2019
On well-posedness for the inhomogeneous nonlinear Schrödinger equation in the critical case
Jungkwon Kim, Yoonjung Lee, Ihyeok Seo
In this paper we study the well-posedness for the inhomogeneous nonlinear Schrödinger equation in Sobolev spaces , . The well-posed…
math.AP2018
A note on eigenvalue bounds for Schrödinger operators
Yoonjung Lee, Ihyeok Seo
We obtain a new bound on the location of eigenvalues for a non-self-adjoint Schrödinger operator with complex-valued potentials by obtaining a weighted estimate for the resol…