Energy inequalities for a model of wave propagation in cold plasma

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dc.creatorOtway, Thomas H.
dc.date2005-04-26
dc.date2007-09-10
dc.date.accessioned2026-07-07T08:44:22Z
dc.date.available2026-07-07T08:44:22Z
dc.descriptionEnergy 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.
dc.description33 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0504077
dc.identifierhttp://arxiv.org/abs/math-ph/0504077
dc.identifierPubl. Mat. 52(1), 195-234 (2008)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142635
dc.subjectMathematical Physics
dc.subject35M10; 35D05; 82D10
dc.titleEnergy inequalities for a model of wave propagation in cold plasma
dc.typetext

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