ESTIMATES FOR THE MAXWELL FIELD NEAR THE SPATIAL AND NULL INFINITY OF THE SCHWARZSCHILD SPACETIME

Juan A. Valiente Kroon

Type: Article

Publication Date: 2009-06-01

Citations: 19

DOI: https://doi.org/10.1142/s0219891609001861

Abstract

It is shown how the gauge of the "regular finite initial value problem at spacelike infinity" can be used to construct a certain type of estimates for the Maxwell field propagating on a Schwarzschild background. These estimates are constructed with the objective of obtaining information about the smoothness near spacelike and null infinity of a wide class of solutions to the Maxwell equations.

Locations

Journal of Hyperbolic Differential Equations - View
arXiv (Cornell University) - PDF

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+	Semilinear wave equations on the Schwarzschild manifold I: Local decay estimates	2003	Pieter Blue Avy Soffer
+	Asymptotic properties of linear field equations in minkowski space	1990	Demetrios Christodoulou Sergiù Klainerman
+	Advanced General Relativity	1991	John M. Stewart
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+ PDF Chat	Einstein equations and conformal structure: Existence of anti-de Sitter-type space-times	1995	Helmut Friedrich
+	Partial Differential Equations I: Basic Theory	1996	Michael E. Taylor
+	Partial Differential Equations	1982	Fritz John
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