Energy inequalities for a model of wave propagation in cold plasma
Otway, Thomas H.
arXiv, 0504077 / Harvested from arXiv
Text on arXiv
Energy inequalities are derived for an elliptic-hyperbolic operator arising in plasma physics. These inequalities imply the existence of distribution and weak solutions to various closed boundary-value problems. An existence theorem is proven for a related class of Keldysh equations, and the failure of expected methods for obtaining uniqueness is discussed. The proofs use ideas recently introduced by Lupo, Morawetz, and Payne for a generalized Tricomi operator. The existence of strong solutions under open boundary conditions is also proven.
Publié le : 2005-04-26
Classification:  Mathematical Physics,  35M10,  35D05,  82D10 
@article{0504077,
     author = {Otway, Thomas H.},
     title = {Energy inequalities for a model of wave propagation in cold plasma},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0504077}
}

Otway, Thomas H. Energy inequalities for a model of wave propagation in cold plasma. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0504077/