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(Ebook) Global Well-Posedness of High Dimensional Maxwell-Dirac for Small Critical Data by Cristian Gavrus; Sung-Jin Oh ISBN 9781470458089, 147045808X

  • SKU: EBN-51677760
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Instant download (eBook) Global Well-Posedness of High Dimensional Maxwell-Dirac for Small Critical Data after payment.
Authors:Cristian Gavrus; Sung-Jin Oh
Pages:106 pages.
Year:2020
Editon:1
Publisher:American Mathematical Society
Language:english
File Size:1.08 MB
Format:pdf
ISBNS:9781470458089, 147045808X
Categories: Ebooks

Product desciption

(Ebook) Global Well-Posedness of High Dimensional Maxwell-Dirac for Small Critical Data by Cristian Gavrus; Sung-Jin Oh ISBN 9781470458089, 147045808X

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.
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