7 citations · 11 across the 8 of their papers we have counts for
8 papers
Weighted Hessian estimates in Orlicz spaces for nondivergence elliptic operators with certain potentials
Mikyoung Lee, Yoonjung Lee
We prove interior weighted Hessian estimates in Orlicz spaces for nondivergence type elliptic equations with a lower order term which involves a nonnegative potential satisfying a…
On local well-posedness of nonlinear dispersive equations with partially regular data
Youngwoo Koh, Yoonjung Lee, Ihyeok Seo
We revisit the local well-posedness theory of nonlinear Schrödinger and wave equations in Sobolev spaces and , . The theory has been well established o…
Sharp weighted Strichartz estimates and critical inhomogeneous Hartree equations
Seongyeon Kim, Yoonjung Lee, Ihyeok Seo
We study the Cauchy problem for the inhomogeneous Hartree equation in this paper. Although its well-posedness theory has been extensively studied in recent years, much less is know…
Endpoint Strichartz estimates with angular integrability and some applications
Jungkwon Kim, Yoonjung Lee, Ihyeok Seo
The endpoint Strichartz estimate is known to be false in two space dimensions. Taking averages spherically on the polar coor…
The Cauchy problem for the energy-critical inhomogeneous nonlinear Schrödinger equation
Yoonjung Lee, Ihyeok Seo
In this paper we study the Cauchy problem for the energy-critical inhomogeneous nonlinear Schrödinger equation in . The well-posedness theo…
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…
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…
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…