Jimyeong Kim

most citedOn the convergence of decentralized gradient descent with diminishing stepsize, revisited

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math.AP2019

Lower bounds on the radius of spatial analyticity for the Kawahara equation

Jaeseop Ahn, Jimyeong Kim, Ihyeok Seo

In this paper we obtain lower bounds on the radius of spatial analyticity of solutions to the Kawahara equation $u_{t} + u u_{x} + α u_{xxx} + β u_{xxxxx} = 0$ , $β \neq = 0$ , given initial da…

math.AP2019

On the radius of spatial analyticity for defocusing nonlinear Schrödinger equations

Jaeseop Ahn, Jimyeong Kim, Ihyeok Seo

In this paper we study spatial analyticity of solutions to the defocusing nonlinear Schrödinger equations $i u_{t} + Δ u = ∣ u ∣^{p - 1} u$ , given initial data which is analytic with fixed…