Unique solutions to boundary value problems in the cold plasma model

Details Unique solutions to boundary value problems in the cold plasma model Unique solutions to boundary value problems in the cold plasma model

2008-03-14

arxiv.org/abs/0803.2226v3

SIAM Journal on Mathematical Analysis, Volume 42, Issue 6, pp. 3045-3053 (2010)

Physics

Mathematical Physics

26 pages

Scientific paper

The unique existence of a weak solution to the homogeneous closed Dirichlet
problem on certain D-star-shaped domains is proven for a mixed
elliptic-hyperbolic equation. Equations of this kind arise in models for
electromagnetic wave propagation in cold plasma. A related class of open
boundary value problems is shown to possess strong solutions.

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