Energy inequalities for a model of wave propagation in cold plasma
Otway, T. H. (Yeshiva University (Estats Units d'Amèrica). Department of Mathematics)

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.
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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

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/74471
DOI: 10.5565/PUBLMAT_52108_10

40 p, 299.0 KB

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