Publicacions Matemàtiques

Energy inequalities for a model of wave propagation in cold plasma

Thomas H. Otway

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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.

Article information

Source
Publ. Mat., Volume 52, Number 1 (2008), 195-234.

Dates
First available in Project Euclid: 17 December 2007

Permanent link to this document
https://projecteuclid.org/euclid.pm/1197908703

Mathematical Reviews number (MathSciNet)
MR2384847

Zentralblatt MATH identifier
1162.35428

Subjects
Primary: 35M10: Equations of mixed type 35D05 82D10: Plasmas

Keywords
Elliptic-hyperbolic equations energy inequalities closed boundary-value problems symmetric-positive operators equations of Keldysh type

Citation

Otway, Thomas H. Energy inequalities for a model of wave propagation in cold plasma. Publ. Mat. 52 (2008), no. 1, 195--234. https://projecteuclid.org/euclid.pm/1197908703


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