Unique Solutions to Boundary Value Problems in the Cold Plasma Model

نویسنده

  • Thomas H. Otway
چکیده

The existence of a unique weak solution to the homogeneous closed Dirichlet problem is proven for an elliptic-hyperbolic equation. The equation arises in a model for electromagnetic wave propagation in cold plasma. A class of open boundary value problems for the equation is shown to possess strong solutions. MSC2000 : 35M10, 35D05, 82D10.

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منابع مشابه

Weak and strong solutions to boundary-value problems in the cold plasma model

Boundary-value problems are formulated for elliptic-hyperbolic systems that model electromagnetic wave propagation in an idealized plasma. MSC2000 : 35M10, 35D05, 82D10

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عنوان ژورنال:
  • SIAM J. Math. Analysis

دوره 42  شماره 

صفحات  -

تاریخ انتشار 2010