Soonsik Kwon

most citedOn the fifth order KdV equation: local well-posedness and lack of uniform continuity of the solution map

4 citations · 6 across the 2 of their papers we have counts for

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math.AP2007★ 2 cited

Well-posedness and ill-posedness of the fifth order modifed KdV equation

Soonsik Kwon

We consider the initial value problem of the fifth order modified KdV equation on the Sobolev spaces. \partial_t u - \partial_x^5u + c_1\partial_x^3(u^3) + c_2u\partial_x u\partial…

math.AP2007★ 4 cited

On the fifth order KdV equation: local well-posedness and lack of uniform continuity of the solution map

Soonsik Kwon

In this paper we prove that the fifth order equation arising from the KdV hierarchy $\partial_{t} u + \partial_{x}^{5} u + c_{1} \partial_{x} u \partial_{x}^{2} u + c_{2} u \partial_{x}^{3} u = 0$ is locall…