Advances in Differential Equations

Unconditional global well-posedness in energy space for the Maxwell-Klein-Gordon system in temporal gauge

Hartmut Pecher

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Abstract

The Maxwell-Klein-Gordon system in temporal gauge is unconditionally globally well-posed in energy space, especially uniqueness holds in the natural solution space. This improves earlier results where uniqueness was only shown in a suitable subspace. It is also locally well-posed for large data below energy space.

Article information

Source
Adv. Differential Equations Volume 20, Number 11/12 (2015), 1009-1032.

Dates
First available in Project Euclid: 18 August 2015

Permanent link to this document
https://projecteuclid.org/euclid.ade/1439901069

Mathematical Reviews number (MathSciNet)
MR3388891

Zentralblatt MATH identifier
1328.35190

Subjects
Primary: 35Q40: PDEs in connection with quantum mechanics 35L70: Nonlinear second-order hyperbolic equations

Citation

Pecher, Hartmut. Unconditional global well-posedness in energy space for the Maxwell-Klein-Gordon system in temporal gauge. Adv. Differential Equations 20 (2015), no. 11/12, 1009--1032. https://projecteuclid.org/euclid.ade/1439901069.


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