Local wellposedness of Chern-Simons-Schrödinger
- Author(s): Liu, B;
- Smith, P;
- Tataru, D
- et al.
Published Web Locationhttps://doi.org/10.1093/imrn/rnt161
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.