The Cubic Dirac Equation: Small Initial Data in H-1/2 (R-2)
Open Access Publications from the University of California

## The Cubic Dirac Equation: Small Initial Data in H-1/2 (R-2)

• Author(s): Bejenaru, Ioan
• Herr, Sebastian
• et al.

## Published Web Location

https://doi.org/10.1007/s00220-015-2508-4
Abstract

Global well-posedness and scattering for the cubic Dirac equation with small initial data in the critical space $H^{\frac12}(\mathbb{R}^2)$ is established. The proof is based on a sharp endpoint Strichartz estimate for the Klein-Gordon equation in dimension $n=2$, which is captured by constructing an adapted systems of coordinate frames.

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