Skip to main content
eScholarship
Open Access Publications from the University of California
Refine Search

UC Berkeley

UC Berkeley Previously Published Works bannerUC Berkeley

Local Wellposedness of Chern–Simons–Schrödinger

Published Web Location

https://doi.org/10.1093/imrn/rnt161
Abstract

In this article, we consider the initial value problem for the Chern-Simons-Schrödinger model in two space dimensions. This is a covariant NLS type problem which is L2 critical. For this equation, we introduce a so-called heat gauge, and prove that, with respect to this gauge, the problem is locally well-posed for initial data which is small in Hs, s>0.

Many UC-authored scholarly publications are freely available on this site because of the UC's open access policies. Let us know how this access is important for you.


Top