Energy inequalities for a model of wave propagation in cold plasma
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...
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| Format: | article |
| Publication Date: | 2008 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:21998 |
| Online Access: | https://ddd.uab.cat/record/21998 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_52108_10 |
| Access Level: | Open access |
| Keyword: | Elliptic-hyperbolic equations Energy inequalities Closed boundary-value problems Symmetric-positive operator Equations of Keldysh type |
| Summary: | 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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