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008 170207s2014    sz |    o  j |||| 0|eng d
020   $a9783319022734 (ebook)
024 7 $a10.1007/978-3-319-02273-4$2doi
035   $ab14316171-39ule_inst
040   $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng
082 04$a515.353$223
084   $aAMS 35L45
084   $aAMS 35L40
084   $aAMS 35L55
100 1 $aNishitani, Tatsuo$059540
245 10$aHyperbolic Systems with Analytic Coefficients$h[e-book] :$bWell-posedness of the Cauchy Problem /$cby Tatsuo Nishitani
260   $aCham :$bSpringer Intern. Publ.,$c2014
300   $a1 online resource (viii, 237 p.)
336   $atext$btxt$2rdacontent
337   $acomputer$bc$2rdamedia
338   $aonline resource$bcr$2rdacarrier
347   $atext file$bPDF$2rda
490 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v2097
505 0 $aIntroduction ; Necessary conditions for strong hyperbolicity ; Two by two systems with two independent variables ; Systems with nondegenerate characteristics ; Index
520   $aThis monograph focuses on the well-posedness of the Cauchy problem for linear hyperbolic systems with matrix coefficients. Mainly two questions are discussed: (A) Under which conditions on lower order terms is the Cauchy problem well posed? (B) When is the Cauchy problem well posed for any lower order term? For first order two by two systems with two independent variables with real analytic coefficients, we present complete answers for both (A) and (B). For first order systems with real analytic coefficients we prove general necessary conditions for question (B) in terms of minors of the principal symbols. With regard to sufficient conditions for (B), we introduce hyperbolic systems with nondegenerate characteristics, which contains strictly hyperbolic systems, and prove that the Cauchy problem for hyperbolic systems with nondegenerate characteristics is well posed for any lower order term. We also prove that any hyperbolic system which is close to a hyperbolic system with a nondegenerate characteristic of multiple order has a nondegenerate characteristic of the same order nearby
650  0$aDifferential equations, partial
650  0$aMathematical physics
710 2 $aSpringerLink (Online service)
773 0 $aSpringer eBooks.
776 08$aPrinted edition:$z9783319022727.
856 40$uhttp://link.springer.com/book/10.1007/978-3-319-02273-4$zAn electronic book accessible through the World Wide
907   $a.b14316171$b03-03-22$c07-02-17
912   $a991003324949707536
996   $aHyperbolic systems with analytic coefficients$9820703
997   $aUNISALENTO
998   $ale013$b07-02-17$cm$d@  $e-$feng$gsz $h0$i0