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Global Wellposedness Of High Dimensional Maxwelldirac For Small Critical Data 1st Edition Cristian Gavrus Sungjin Oh

SKU: BELL-51677760

$ 31.00 ~~$ 45.00~~ (-31%)

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Global Wellposedness Of High Dimensional Maxwelldirac For Small Critical Data 1st Edition Cristian Gavrus Sungjin Oh instant download after payment.

Publisher: American Mathematical Society

File Extension: PDF

File size: 1.08 MB

Pages: 106

Author: Cristian Gavrus; Sung-Jin Oh

ISBN: 9781470458089, 147045808X

Language: English

Year: 2020

Edition: 1

Product desciption

Global Wellposedness Of High Dimensional Maxwelldirac For Small Critical Data 1st Edition Cristian Gavrus Sungjin Oh by Cristian Gavrus; Sung-jin Oh 9781470458089, 147045808X instant download after payment.

In this paper, the authors prove global well-posedness of the massless Maxwell-Dirac equation in the Coulomb gauge on $\mathbb{R}^{1+d} (d\geq 4)$ for data with small scale-critical Sobolev norm, as well as modified scattering of the solutions. Main components of the authors' proof are A) uncovering null structure of Maxwell-Dirac in the Coulomb gauge, and B) proving solvability of the underlying covariant Dirac equation. A key step for achieving both 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.