Journal of Mathematical Sciences

, Volume 132, Issue 4, pp 404–418 | Cite as

Some Properties of Solutions to a Second Order Elliptic Equation with Principal Part of Divergence Form with Potential Concentrated on a Hypersurface

  • S. V. Morozov


A number of classical results of the theory of second order elliptic equations of divergence form in ℝ d, d ⩾ 2, is generalized to problems with singular potential concentrated on a hypersurface of codimension 1. Such results are required, for example, for describing photon crystals. Bibliography: 8 titles.


Photon Crystal Elliptic Equation Divergence Form Classical Result Principal Part 
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© Springer Science+Business Media, Inc. 2006

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  • S. V. Morozov

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