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Cloos, Cai Constantin: On the long-time behavior of the three-dimensional Dirac-Maxwell equation with zero magnetic field. 2020
Inhalt
Introduction
Notation and preliminaries
The Dirac–Maxwell system and the scalar toy model
Results
Bootstrap argument and weighted estimates
Local well-posedness
Weighted energy estimates
Control of
Preliminary estimates for controlling and
Control of
Control of
Testing solutions by wave packets
Approximation by wave packets
Asymptotic expansion
Control of and proof of the main result
Asymptotic completeness
Nonlinear estimates
Inhomogeneous estimates
Outlook: Nonzero magnetic field
-estimate for
Approaches how to control
Young's convolution inequality in Lorentz spaces
Strichartz estimate
Klainerman–Sobolev inequality
Conclusion
References
Acknowledgements
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