- Publ. Mat.
- Volume 52, Number 1 (2008), 195-234.
Energy inequalities for a model of wave propagation in cold plasma
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.
Publ. Mat., Volume 52, Number 1 (2008), 195-234.
First available in Project Euclid: 17 December 2007
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Otway, Thomas H. Energy inequalities for a model of wave propagation in cold plasma. Publ. Mat. 52 (2008), no. 1, 195--234. https://projecteuclid.org/euclid.pm/1197908703