Home > Articles > Published articles > Energy inequalities for a model of wave propagation in cold plasma |
Date: | 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. |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió publicada |
Subject: | Elliptic-hyperbolic equations ; Energy inequalities ; Closed boundary-value problems ; Symmetric-positive operator ; Equations of Keldysh type |
Published in: | Publicacions matemàtiques, V. 52 n. 1 (2008) p. 195-234, ISSN 2014-4350 |
40 p, 299.0 KB |