LEADER 03112nam 2200625Ia 450 001 9910132669003321 005 20200520144314.0 010 $a3-642-24415-7 024 7 $a10.1007/978-3-642-24415-5 035 $a(CKB)3390000000021762 035 $a(SSID)ssj0000609541 035 $a(PQKBManifestationID)11406514 035 $a(PQKBTitleCode)TC0000609541 035 $a(PQKBWorkID)10619292 035 $a(PQKB)10602481 035 $a(DE-He213)978-3-642-24415-5 035 $a(MiAaPQ)EBC3070597 035 $a(PPN)159085055 035 $a(EXLCZ)993390000000021762 100 $a20111115d2012 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 14$aThe Dirichlet problem for elliptic-hyperbolic equations of Keldysh type /$fThomas H. Otway 205 $a1st ed. 2012. 210 $aBerlin ;$aHeidelberg ;$aNew York $cSpringer Verlag$d2012 215 $a1 online resource (IX, 214 p. 26 illus., 11 illus. in color.) 225 1 $aLecture notes in mathematics ;$v2043 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-642-24414-9 320 $aIncludes bibliographical references and index. 327 $a1 Introduction -- 2 Mathematical Preliminaries -- 3 The Equation of Cinquini-Cibrario -- 4 The Cold Plasma Model -- 5 Light near a Caustic -- 6 Projective Geometry. 330 $aPartial differential equations of mixed elliptic-hyperbolic type arise in diverse areas of physics and geometry, including fluid and plasma dynamics, optics, cosmology, traffic engineering, projective geometry, geometric variational theory, and the theory of isometric embeddings. And yet even the linear theory of these equations is at a very early stage. This text examines various Dirichlet problems that can be formulated for Keldysh-type equations, one of the two main classes of linear elliptic-hyperbolic equations. Open boundary conditions (in which data are prescribed on only part of the boundary) and closed boundary conditions (in which data are prescribed on the entire boundary) are both considered. Emphasis is placed on the formulation of boundary conditions for which solutions can be shown to exist in an appropriate function space, and specific applications to plasma physics, optics, and analysis on projective spaces are discussed. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v2043. 606 $aDifferential equations, Elliptic 606 $aDifferential equations, Hyperbolic 606 $aDirichlet problem 615 0$aDifferential equations, Elliptic. 615 0$aDifferential equations, Hyperbolic. 615 0$aDirichlet problem. 676 $a515.3533 686 $aMAT 354f$2stub 686 $aMAT 355f$2stub 686 $aMAT 357f$2stub 686 $aSI 850$2rvk 700 $aOtway$b Thomas H$0167751 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910132669003321 996 $aDirichlet problem for elliptic-hyperbolic equations of Keldysh type$9239895 997 $aUNINA