Seungly Oh

activity

20112021

most citedLocal well-posedness for quadratic Schrödinger equations in

R^{1 + 1}

: a normal form approach

2 citations · 2 across the 5 of their papers we have counts for

collaborators

6 papers

math.AP2021

The Kato-Ponce Inequality with Polynomial Weights

Seungly Oh, Xinfeng Wu

We consider various versions of fractional Leibniz rules (also known as Kato-Ponce inequalities) with polynomial weights $⟨ x ⟩^{a} = (1 + ∣ x ∣^{2})^{a /2}$ for $a \geq 0$ . We sho…

math.AP2020

Smoothing and growth bound of periodic generalized Korteweg-de Vries equation

Seungly Oh, Atanas G. Stefanov

For generalized KdV models with polynomial nonlinearity, we establish nonlinear smoothing property in $H^{s}$ for $s > \frac{1}{2}$ . Such smoothing effect persists globally, provided t…

math.AP2020

Polynomial Bound and Nonlinear Smoothing for the Benjamin-Ono Equation on the Circle

Bradley Isom, Dionyssios Mantzavinos, Seungly Oh +1

For initial data in Sobolev spaces $H^{s} (T)$ , $\frac{1}{2} < s ⩽ 1$ , the solution to the Cauchy problem for the Benjamin-Ono equation on the circle is shown to grow at…

math.AP2017

Stabilization of Dispersion Generalized Benjamin Ono

Cynthia Flores, Seungly Oh, Derek Smith

In this article, we examine $L^{2}$ well-posedness and stabilization property of the dispersion-generalized Benjamin-Ono equation with periodic boundary conditions. The main ingredie…

math.AP2013

The Kato-Ponce Inequality

Loukas Grafakos, Seungly Oh

In this article we develop a simplistic approach to revisit the classical Kato-Ponce inequality, which is also known as 'fractional Leibniz rule.' As a consequence, we derive the v…

math.AP2011★ 2 cited

Local well-posedness for quadratic Schrödinger equations in $R^{1 + 1}$ : a normal form approach

Seungly Oh, Atanas Stefanov

For the Schrödinger equation $u_t+i u_{xx}=\nab^\be[u^2]$, $\be\in (0,1/2)$, we establish local well-posedness in $H^{\be-1+}$ (note that if $\be=0$, this matches, up to an endpoin…