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The Dirichlet Problem for Elliptic-Hyperbolic Equations of Keldysh Type
Partial differential equations of mixed elliptic-hyperbolic type arise in diverse areas of physics and geometry, including fluid and plasma dynamics, optics, cosmology, traffic engineering, projective geometry, geometric variational theory, and the theory of isometric embeddings. And yet even the li...
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| Auteur principal : | |
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| Format : | Livre |
| Langue : | anglais |
| Titre complet : | The Dirichlet Problem for Elliptic-Hyperbolic Equations of Keldysh Type / Thomas H. Otway. |
| Édition : | 1st ed. 2012. |
| Publié : |
Berlin, Heidelberg :
Springer Berlin Heidelberg
, [20..] Cham : Springer Nature |
| Collection : | Lecture notes in mathematics (Internet) ; 2043 |
| Accès en ligne : |
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| Condition d'utilisation et de reproduction : | Conditions particulières de réutilisation pour les bénéficiaires des licences nationales : https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |
| Contenu : | 1 Introduction. 2 Mathematical Preliminaries. 3 The Equation of Cinquini-Cibrario. 4 The Cold Plasma Model. 5 Light near a Caustic. 6 Projective Geometry |
| Sujets : | |
| Documents associés : | Autre format:
The Dirichlet problem for elliptic-hyperbolic equations of Keldysh type |
| Résumé : | Partial differential equations of mixed elliptic-hyperbolic type arise in diverse areas of physics and geometry, including fluid and plasma dynamics, optics, cosmology, traffic engineering, projective geometry, geometric variational theory, and the theory of isometric embeddings. And yet even the linear theory of these equations is at a very early stage. This text examines various Dirichlet problems that can be formulated for Keldysh-type equations, one of the two main classes of linear elliptic-hyperbolic equations. Open boundary conditions (in which data are prescribed on only part of the boundary) and closed boundary conditions (in which data are prescribed on the entire boundary) are both considered. Emphasis is placed on the formulation of boundary conditions for which solutions can be shown to exist in an appropriate function space, and specific applications to plasma physics, optics, and analysis on projective spaces are discussed |
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| Notes : | L'impression du document génère 217 p. |
| Bibliographie : | Notes bibliogr. Index |
| ISBN : | 978-3-642-24415-5 |
| DOI : | 10.1007/978-3-642-24415-5 |