科研之友
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摘要
We uncover the full null structure of the Maxwell-Dirac system in Lorenz gauge This structure. which cannot be seen in the individual component equations. but only when considering the system as a whole. is expressed in terms of tri- and quadrilinear integral forms with cancellations measured by the angles between spatial frequencies In the 3D case, we prove frequency-localized L(2) space-time estimates for these integral forms at the scale invariant regularity up to a logarithmic loss, hence we obtain almost optimal local well-posedness of the system by iteration
- 出版日期2010-6
