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001 978-3-642-24415-5
003 DE-He213
005 20190213151434.0
007 cr nn 008mamaa
008 120105s2012 gw | s |||| 0|eng d
020 _a9783642244155
_9978-3-642-24415-5
024 7 _a10.1007/978-3-642-24415-5
_2doi
050 4 _aQA370-380
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
072 7 _aPBKJ
_2thema
082 0 4 _a515.353
_223
100 1 _aOtway, Thomas H.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 4 _aThe Dirichlet Problem for Elliptic-Hyperbolic Equations of Keldysh Type
_h[electronic resource] /
_cby Thomas H. Otway.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2012.
300 _aIX, 214 p. 26 illus., 11 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2043
505 0 _a1 Introduction -- 2 Mathematical Preliminaries -- 3 The Equation of Cinquini-Cibrario -- 4 The Cold Plasma Model -- 5 Light near a Caustic -- 6 Projective Geometry.
520 _aPartial 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.
650 0 _aDifferential equations, partial.
650 1 4 _aPartial Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12155
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642244148
776 0 8 _iPrinted edition:
_z9783642244162
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2043
856 4 0 _uhttps://doi.org/10.1007/978-3-642-24415-5
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c10675
_d10675