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20122026
most citedThe initial-boundary value problem for the Kawahara equation on the half-line

7 citations · 29 across the 22 of their papers we have counts for

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Showing 2015Show all

3 papers · 1 filter

math.AP2015

Global well-posedness and Nonsqueezing property for the higher-order KdV-type flow

Sunghyun Hong, Chulkwang Kwak

In this paper, we prove that the periodic higher-order KdV-type equation \[\left\{\begin{array}{ll} \partial_t u + (-1)^{j+1} \partial_x^{2j+1}u + \frac12 \partial_x(u^2)=0, \hspac…

math.AP2015★ 2 cited

Local well-posedness for the fifth-order KdV equations on

Chulkwang Kwak

This paper is a continuation of the paper \emph{Low regularity Cauchy problem for the fifth-order modified KdV equations on }. In this paper, we consider the fifth-orde…

math.AP2015★ 2 cited

Low regularity Cauchy problem for the fifth-order modified KdV equations on

Chulkwang Kwak

In this paper, we consider the fifth-order modified Korteweg-de Vries (modified KdV) equation under the periodic boundary condition. We prove the local well-posedness in $H^s(\math…