Youngwoo Koh

activity

20132023

L^{2}

estimates for solutions of the wave equation

4 citations · 8 across the 17 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.AP2022

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 $H^{s}$ and $H ˙^{s}$ , $0 < s \leq 1$ . The theory has been well established o…

math.CA2022

Pointwise convergence of sequential Schrödinger means

Chu-Hee Cho, Hyerim Ko, Youngwoo Koh +1

We study pointwise convergence of the fractional Schrödinger means along sequences $t_{n}$ which converge to zero. Our main result is that bounds on the maximal function $\sup_{n} |e…

math.NA2022

Convergence analysis of the splitting method to the nonlinear heat equation

Hyung Jun Choi, Woocheol Choi, Youngwoo Koh

In this paper, we analyze an operator splitting scheme of the nonlinear heat equation in $Ω \subset R^{d}$ ( $d \geq 1$ ): $\partial_{t} u = Δ u + λ ∣ u ∣^{p - 1} u$ in $Ω\times(0,\infty…