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A remark on the regularity of solutions of Maxwell’s equations on Lipschitz domains. (English) Zbl 0699.35028
The following theorem is proved: Let u satisfy the conditions $(1)\quad u\in L^ 2(\Omega),\quad div u\in L^ 2(\Omega),\quad curl u\in L^ 2(\Omega)\quad in\quad \Omega$ and either (2) $$n\times u\in L^ 2(\Gamma)$$ or (3) $$n\cdot u\in L^ 2(\Gamma)$$ then $$u\in H^{1/2}(\Omega)$$. If (1) is satisfied, then the two conditions (2) and (3) are equivalent.
Reviewer: H.Benker

##### MSC:
 35B65 Smoothness and regularity of solutions to PDEs 35K55 Nonlinear parabolic equations
##### Keywords:
Maxwell’s equations; Lipschitz domains
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##### References:
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