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2016 Decay of solutions of Maxwell–Klein–Gordon equations with arbitrary Maxwell field
Shiwu Yang
Anal. PDE 9(8): 1829-1902 (2016). DOI: 10.2140/apde.2016.9.1829

Abstract

In the author’s previous work, it has been shown that solutions of Maxwell–Klein–Gordon equations in 3+1 possess some form of global strong decay properties with data bounded in some weighted energy space. In this paper, we prove pointwise decay estimates for the solutions for the case when the initial data are merely small on the scalar field but can be arbitrarily large on the Maxwell field. This extends the previous result of Lindblad and Sterbenz, in which smallness was assumed both for the scalar field and the Maxwell field.

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Shiwu Yang. "Decay of solutions of Maxwell–Klein–Gordon equations with arbitrary Maxwell field." Anal. PDE 9 (8) 1829 - 1902, 2016. https://doi.org/10.2140/apde.2016.9.1829

Information

Received: 1 November 2015; Revised: 7 March 2016; Accepted: 28 August 2016; Published: 2016
First available in Project Euclid: 16 November 2017

zbMATH: 1358.35184
MathSciNet: MR3599520
Digital Object Identifier: 10.2140/apde.2016.9.1829

Subjects:
Primary: 35Q61

Keywords: decay , Maxwell–Klein–Gordon

Rights: Copyright © 2016 Mathematical Sciences Publishers

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Vol.9 • No. 8 • 2016
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