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Energy inequalities for a model of wave propagation in cold plasma
Otway, T. H.

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 ; article ; publishedVersion
Publicat a: Publicacions Matemàtiques, V. 52 n. 1 (2008) p. 195-234, ISSN 0214-1493

DOI: 10.5565/PUBLMAT_52108_10

40 p, 299.0 KB

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