Unique solutions to boundary value problems in the cold plasma model

Thomas H. Otway

Unique solutions to boundary value problems in the cold plasma model

Mathematical Physics 2010-12-20 v3 math.MP

Authors: Thomas H. Otway

Abstract

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.

Keywords

boundary value problems partial differential equations boundary conditions in quantum mechanics

Cite

@article{arxiv.0803.2226,
  title  = {Unique solutions to boundary value problems in the cold plasma model},
  author = {Thomas H. Otway},
  journal= {arXiv preprint arXiv:0803.2226},
  year   = {2010}
}