On some properties of weak solutions to the Maxwell equations
Abstract
This paper is concerned with weak solutions e,h in L2 x L2 of the time-dependent Maxwell equations. We show that these solutions obey an energy equality. Our method of proof is based on the approximation of e,h by its Steklov mean with respect to time t. This approximation technique is well-known for establishing integral estimates for weak solutions of parabolic equations. In addition we prove the uniqueness of e,h.
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