## Differential and Integral Equations

### On uniqueness for Schrödinger maps with low regularity large data

Ikkei Shimizu

#### Abstract

We prove that the solutions to the initial-value problem for the 2-dimensional Schrödinger maps are unique in $$C_tL^\infty_x \cap L^\infty_t (\dot{H}^1_x\cap\dot{H}^2_x) .$$ For the proof, we follow McGahagan's argument with improving its technical part, combining Yudovich's argument.

#### Article information

Source
Differential Integral Equations, Volume 33, Number 5/6 (2020), 207-222.

Dates
First available in Project Euclid: 16 May 2020