9 citations · 11 across the 2 of their papers we have counts for
4 papers
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}(\…
Nonpositive Curvature of the quantomorphism group and quasigeostrophic motion
Jae Min Lee, Stephen C. Preston
In this paper, we compute the sectional curvature of the quantomorphism group whose geodesic equation is the quasi-geostrophic (QG) equation in geophysics and oc…
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…
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…