Sunggeum Hong

activity

20032022

L^{2}

-critical Nonlinear Schrödinger equations of higher orders

10 citations · 10 across the 4 of their papers we have counts for

collaborators

4 papers

math.AP2022

Hörmander type theorem for multilinear Pseudo-differential operators

Yaryong Heo, Sunggeum Hong, Chan Woo Yang

We establish a Hörmander type theorem for the multilinear pseudo-differential operators, which is also a generalization of the results in \cite{MR4322619} to symbols depending on t…

math.AP2009★ 10 cited

Mass concentration for the $L^{2}$ -critical Nonlinear Schrödinger equations of higher orders

Myeongju Chae, Sunggeum Hong, Sanghyuk Lee

We consider the mass concentration phenomenon for the $L^{2}$ -critical nonlinear Schrödinger equations of higher orders. We show that any solution $u$ to $iu_{t} + (-Δ)^{\fracα2} u =…

math.CA2007

Triple Hilbert transforms along polynomial surfaces

Yong Kum Cho, Sunggeum Hong, Joonil Kim +1

This paper has been withdrawn since it contains some discrepancy with othe authers's recent result. We will not post this until this discrepancy is resolved.

math.CA2003

Weak type estimates on certain Hardy spaces for smooth cone type multipliers

Sunggeum Hong, Yong-Cheol Kim

Let $ϱ \in C^{\infty} (R^{d} ∖ {0})$ be a non-radial homogeneous distance function satisfying $ϱ (t ξ) = tϱ (ξ)$ . For $f \in S (R^{d + 1})$ and $δ…

Hörmander type theorem for multilinear Pseudo-differential operators

Mass concentration for the L2-critical Nonlinear Schrödinger equations of higher orders

Triple Hilbert transforms along polynomial surfaces

Weak type estimates on certain Hardy spaces for smooth cone type multipliers

Mass concentration for the $L^{2}$ -critical Nonlinear Schrödinger equations of higher orders