visitant ::
identificació
|
|||||||||||||||
Cerca | Lliura | Ajuda | Servei de Biblioteques | Sobre el DDD | Català English Español |
Pàgina inicial > Articles > Articles publicats > Energy inequalities for a model of wave propagation in cold plasma |
Data: | 2008 |
Resum: | 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. |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió publicada |
Matèria: | Elliptic-hyperbolic equations ; Energy inequalities ; Closed boundary-value problems ; Symmetric-positive operator ; Equations of Keldysh type |
Publicat a: | Publicacions matemàtiques, V. 52 n. 1 (2008) p. 195-234, ISSN 2014-4350 |
40 p, 299.0 KB |