##### Department of Mathematics,

University of California San Diego

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### Math 248 - Real Analysis

## Sung-Jin Oh

#### UC Berkeley

## Global well-posedness of Maxwell-Dirac for small critical data

##### Abstract:

We prove global well-posedness of the $(d+1)$-dimensional $(d\geq 4)$ massless Maxwell-Dirac equation in Coulomb gauge for data with small scale-critical Sobolev norm. A key step is to exploit (and justify) a deep analogy between Maxwell-Dirac and Maxwell-Klein-Gordon (for which an analogous result was proved earlier by Krieger-Sterbenz-Tataru), which says that the most difficult part of Maxwell-Dirac takes essentially the same form as Maxwell-Klein-Gordon. This is a joint work with C. Gavrus.

Host: Jacob Sterbenz

### May 3, 2016

### 10:00 AM

### AP&M 7321

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