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math.AP2022★ 1 cited
Sharp universal rate for stable blow-up of corotational wave maps
Kihyun Kim
We consider the energy-critical (corotational) 1-equivariant wave maps into the two-sphere. By the seminal work [53] of Raphaël and Rodnianski, there is an open set of initial data…
math.AP2022★ 1 cited
Soliton resolution for equivariant self-dual Chern-Simons-Schrödinger equation in weighted Sobolev class
Kihyun Kim, Soonsik Kwon, Sung-Jin Oh
We consider the self-dual Chern-Simons-Schrödinger equation (CSS) under equivariant symmetry, which is a -critical equation. It is known that (CSS) admits solitons and finit…