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2008 Energy inequalities for a model of wave propagation in cold plasma
Thomas H. Otway
Publ. Mat. 52(1): 195-234 (2008).

Abstract

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.

Citation

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Thomas H. Otway. "Energy inequalities for a model of wave propagation in cold plasma." Publ. Mat. 52 (1) 195 - 234, 2008.

Information

Published: 2008
First available in Project Euclid: 17 December 2007

zbMATH: 1162.35428
MathSciNet: MR2384847

Subjects:
Primary: 35D05, 35M10, 82D10

Rights: Copyright © 2008 Universitat Autònoma de Barcelona, Departament de Matemàtiques

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Vol.52 • No. 1 • 2008
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