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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Autore principale: Otway, Thomas H., 1953-2016
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edizione:1st ed. 2012.
Serie:Lecture Notes in Mathematics 2043
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Nota: L'impression du document génère 217 p.
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Edition sous un autre format:• The Dirichlet problem for elliptic-hyperbolic equations of Keldysh type, Thomas H. Otway, 2012, Heidelberg [etc.], Springer, 1 vol. (IX- 214 p.), Lecture notes in mathematics, 978-3-642-24414-8
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Riassunto: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
Descrizione del documento:L'impression du document génère 217 p.
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Bibliografia:Notes bibliogr. Index
ISBN:9783642244155
ISSN:1617-9692
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