The Dirichlet problem for elliptichyperbolic equations of Keldysh type
 Responsibility
 Thomas H. Otway.
 Imprint
 Berlin ; Heidelberg ; New York : Springer Verlag, c2012.
 Physical description
 ix, 214 p. : ill. (some col.) ; 24 cm.
 Series
 Lecture notes in mathematics (SpringerVerlag) 2043.
Access
Available online
Science Library (Li and Ma)
Serials
Call number  Status 

Shelved by Series title V.2043  Unknown 
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Creators/Contributors
 Author/Creator
 Otway, Thomas H.
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Contents

 1 Introduction. 2 Mathematical Preliminaries. 3 The Equation of CinquiniCibrario. 4 The Cold Plasma Model. 5 Light near a Caustic. 6 Projective Geometry.
 (source: Nielsen Book Data)9783642244148 20160607
 Publisher's Summary
 Partial differential equations of mixed elliptichyperbolic 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 which can be formulated for equations of Keldysh type, one of the two main classes of linear elliptichyperbolic 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 on the formulation of boundary conditions for which solutions can be shown to exist in an appropriate function space. Specific applications to plasma physics, optics, and analysis on projective spaces are discussed  (From the preface).
(source: Nielsen Book Data)9783642244148 20160607
Subjects
Bibliographic information
 Publication date
 2012
 Series
 Lecture notes in mathematics ; 2043
 ISBN
 9783642244148
 3642244149
 9783642244155 (ebook)
 3642244157 (ebook)