Global Well-Posedness of High Dimensional Maxwell-Dirac for Small Critical Data Paperback / softback
by Cristian Gavrus, Sung-Jin Oh
Part of the Memoirs of the American Mathematical Society series
Paperback / softback
Description
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.
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:94 pages
- Publisher:American Mathematical Society
- Publication Date:30/07/2020
- Category:
- ISBN:9781470441111
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:94 pages
- Publisher:American Mathematical Society
- Publication Date:30/07/2020
- Category:
- ISBN:9781470441111
