Asymptotic Completeness Global Existence And The Infrared Problem For The Maxwell Dirac Equations
Download Asymptotic Completeness Global Existence And The Infrared Problem For The Maxwell Dirac Equations PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Asymptotic Completeness Global Existence And The Infrared Problem For The Maxwell Dirac Equations book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
Asymptotic Completeness, Global Existence and the Infrared Problem for the Maxwell-Dirac Equations
The purpose of this work is to present and give full proofs of new original research results concerning integration of and scattering for the classical Maxwell-Dirac equations.
Asymptotic Completeness, Global Existence and the Infrared Problem for the
Author: Moshé Flato
language: en
Publisher: Oxford University Press, USA
Release Date: 2014-09-11
The purpose of this work is to present and give full proofs of new original research results concerning integration of and scattering for the classical Maxwell-Dirac equations.
Global Well-Posedness of High Dimensional Maxwell–Dirac for Small Critical Data
Author: Cristian Gavrus
language: en
Publisher: American Mathematical Soc.
Release Date: 2020-05-13
In this paper, the authors prove global well-posedness of the massless Maxwell–Dirac equation in the Coulomb gauge on R1+d(d≥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.