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20192023
most citedLecture notes on tree-free regularity structures

7 citations · 18 across the 10 of their papers we have counts for

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math.AP2019

Low regularity a priori estimates for the fourth order cubic nonlinear Schrödinger equation

Kihoon Seong

We consider the low regularity behavior of the fourth order cubic nonlinear Schrödinger equation (4NLS) \begin{align*} \begin{cases} i\partial_tu+\partial_x^4u=\pm \vert u \vert^2u…

math.AP2019★ 2 cited

Well-Posedness and Ill-Posedness for the Fourth order cubic nonlinear Schrödinger equation in negative Sobolev spaces

Kihoon Seong

We consider the Cauchy problem for the fourth order cubic nonlinear Schrödinger equation (4NLS). The main goal of this paper is to prove low regularity well-posedness and mild ill-…