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math.AP2024★ 1 cited
Critical local well-posedness of the nonlinear Schrödinger equation on the torus
Beomjong Kwak, Soonsik Kwon
In this paper, we study the local well-posedness of nonlinear Schrödinger equations on tori at the critical regularity. We focus on cases where the nonlinearity $|…
math.AP2024
Blow-up dynamics for radial self-dual Chern-Simons-Schrödinger equation with prescribed asymptotic profile
Kihyun Kim, Soonsik Kwon, Sung-Jin Oh
We construct finite energy blow-up solutions for the radial self-dual Chern-Simons-Schrödinger equation with a continuum of blow-up rates. Our result stands in stark contrast to th…
math.AP2024
Soliton resolution for Calogero--Moser derivative nonlinear Schrödinger equation
Taegyu Kim, Soonsik Kwon
We consider soliton resolution for the Calogero--Moser derivative nonlinear Schrödinger equation (CM-DNLS). A rigorous PDE analysis of (CM-DNLS) was recently initiated by Gérard an…