Caltech/UCLA Joint Analysis Seminar

Series: Caltech/UCLA/USC Joint Analysis Seminar Series

Well-posedness for the Cubic Dirac equation in the critical space

Ioan Bejenaru, Associate Professor, Mathematics, UCSD,

We establish global well-posedness and scattering for the cubic Dirac equation for small data in the critical space $H^(1/2)(\R^2)$. The theory we develop is the Klein-Gordon counterpart of the Wave Maps / Schroedinger Maps theory. This is joint work with Sebastian Herr.

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