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math.AP2021★ 9 cited
The Robin problem for the nonlinear Schrödinger equation on the half-line
Jae Min Lee, Jonatan Lenells
We consider the nonlinear Schrödinger equation on the half-line with a Robin boundary condition at and with initial data in the weighted Sobolev space $H^{1,1}(\…
math.AP2017★ 2 cited
Global Lagrangian solutions of the Camassa-Holm equation
Jae Min Lee
In this paper we construct global weak conservative solutions of the Camassa-Holm equation on the periodic domain. We first express the equation in Lagrangian flow variable and…
math.AP2016
Local well-posedness of the Camassa-Holm equation on the real line
Jae Min Lee, Stephen C. Preston
In this paper we prove the local well-posedness of the Camassa-Holm equation on the real line in the space of continuously differentiable diffeomorphisms with an appropriate decayi…