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math.AP2024
The energy-critical stochastic Zakharov system
Sebastian Herr, Michael Röckner, Martin Spitz +1
This work is devoted to the stochastic Zakharov system in dimension four, which is the energy-critical dimension. First, we prove local well-posedness in the energy space $H^1\time…
math.AP2024
Modified scattering for the three dimensional Maxwell-Dirac system
Sebastian Herr, Mihaela Ifrim, Martin Spitz
In this work we prove global well-posedness for the massive Maxwell-Dirac system in the Lorenz gauge in , for small, sufficiently smooth and decaying initial data…