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Unconditional global well-posedness in energy space for the Maxwell-Klein-Gordon system in temporal gauge. (English) Zbl 1328.35190

Summary: 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.

MSC:

35Q40 PDEs in connection with quantum mechanics
35L70 Second-order nonlinear hyperbolic equations
78A25 Electromagnetic theory (general)
81T13 Yang-Mills and other gauge theories in quantum field theory
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