Journal of Mathematical Sciences

, Volume 185, Issue 4, pp 554–566 | Cite as

Nonunique continuation for the Maxwell system

  • M. N. Demchenko

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.


Compact Support Smooth Solution Unique Continuation Maxwell System Unique Continuation Property 
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Copyright information

© Springer Science+Business Media, Inc. 2012

Authors and Affiliations

  1. 1.St. Petersburg Department of the Steklov Mathematical lnstituteSt. PetersburgRussia

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