Nonunique continuation for the Maxwell system
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An example of the stationary Maxwell system, which has a nontrivial smooth solution with a compact support is given; the coefficients ε and μ belong to C α for all α < 1. Our example shows that the stationary Maxwell system does not possess a unique continuation property in the ease of nonsmooth coefficients. Bibliography: 5 titles.
KeywordsCompact Support Smooth Solution Unique Continuation Maxwell System Unique Continuation Property
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- 2.T. Suslina, “Absolute continuity of the spectrum of the periodic Maxwell operator in a layer,” Zap. Nauchn. Semin. POMI, 288, 232-255 (2002).Google Scholar