{"product_id":"9781470441111","title":"Global Well-Posedness of High Dimensional Maxwell-Dirac for Small Critical Data","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.","brand":"Cristian Gavrus","offers":[{"title":"Default Title","offer_id":46776573755710,"sku":"9781470441111","price":0.0,"currency_code":"ZAR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4357\/7662\/products\/9781470441111_4778a5d9-c993-4e7f-a432-2d5ffde89977.jpg?v=1707476994","url":"https:\/\/exclusivebooks.co.za\/products\/9781470441111","provider":"Exclusive Books Online","version":"1.0","type":"link"}