G. Lee

activity

20182021

collaborators

3 papers

math.AP2021

Analyticity and infinite breakdown of regularity in mass-subcritical Hartree scattering

Gyu Eun Lee

We study the asymptotic behavior of solutions to the defocusing mass-subcritical Hartree NLS $i u_{t} + Δ u = F (u) = (∣ x ∣^{- γ} * ∣ u ∣^{2}) u$ on $R^{d}$ , $d \geq 2$ , $\frac{4}{3} < γ<…

math.AP2019

Breakdown of regularity of scattering for mass-subcritical NLS

Gyu Eun Lee

We study the scattering problem for the nonlinear Schrödinger equation $i \partial_{t} u + Δ u = ∣ u ∣^{p} u$ on $R^{d}$ , $d \geq 1$ , with a mass-subcritical nonlinearity above the S…

math.AP2018

Local wellposedness for the critical nonlinear Schrödinger equation on $T^{3}$

Gyu Eun Lee

For $p \geq 2$ , we prove local wellposedness for the nonlinear Schrödinger equation $(i \partial_{t} + Δ) u = \pm ∣ u ∣^{p} u$ on $T^{3}$ with initial data in $H^{s_{c}} (T^{3})$ ,…

Analyticity and infinite breakdown of regularity in mass-subcritical Hartree scattering

Breakdown of regularity of scattering for mass-subcritical NLS

Local wellposedness for the critical nonlinear Schrödinger equation on T3

Local wellposedness for the critical nonlinear Schrödinger equation on $T^{3}$