000 | 02782nam a22004455i 4500 | ||
---|---|---|---|
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 |