LEADER 03285nam a2200433 i 4500 001 991003576719707536 006 m o d 007 cr nn||||mamaa 008 181127s2017 gw a o 000 0 eng d 020 $a9783319676128 020 $a3319676121 020 $z9783319676111 020 $z3319676113 024 7 $a10.1007/978-3-319-67612-8$2doi 035 $ab14354470-39ule_inst 040 $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng 082 04$a515.353$223 084 $aAMS 35-02 084 $aLC QA370-380 100 1 $aNishitani, Tatsuo$059540 245 10$aCauchy Problem for Differential Operators with Double Characteristics$h[e-book]:$bNon-Effectively Hyperbolic Characteristics /$cTatsuo Nishitani 264 1$aCham :$bSpringer,$c2017 300 $a1 online resource (viii, 211 pages) :$billustrations 336 $atext$btxt$2rdacontent 337 $acomputer$bc$2rdamedia 338 $aonline resource$bcr$2rdacarrier 490 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2202 504 $aIncludes bibliographical references and index 505 0 $a1. Introduction ; 2 Non-effectively hyperbolic characteristics.- 3 Geometry of bicharacteristics.- 4 Microlocal energy estimates and well-posedness.- 5 Cauchy problemno tangent bicharacteristics. - 6 Tangent bicharacteristics and ill-posedness.- 7 Cauchy problem in the Gevrey classes.- 8 Ill-posed Cauchy problem, revisited ; References 520 $aCombining geometrical and microlocal tools, this monograph gives detailed proofs of many well/ill-posed results related to the Cauchy problem for di erential operators with non-e ectively hyperbolic double characteristics. Previously scattered over numerous di erent publications, the results are presented from the viewpoint that the Hamilton map and the geometry of bicharacteristics completely characterizes the well/ill-posedness of the Cauchy problem. A doubly characteristic point of a di erential operator P of order m (i.e. one where Pm = dPm = 0) is e ectively hyperbolic if the Hamilton map FPm has real non-zero eigenvalues. When the characteristics are at most double and every double characteristic is e ectively hyperbolic, the Cauchy problem for P can be solved for arbitrary lower order terms. If there is a non-e ectively hyperbolic characteristic, solvability requires the subprincipal symbol of P to lie between Pæj and P æj , where iæj are the positive imaginary eigenvalues of FPm . Moreover, if 0 is an eigenvalue of FPm with corresponding 4 ? 4 Jordan block, the spectral structure of FPm is insucient to determine whether the Cauchy problem is well-posed and the behavior of bicharacteristics near the doubly characteristic manifold plays a crucial role 650 0$aDifferential equations, Partial 650 24$aOrdinary Differential Equations 776 08$iPrinted edition:$z9783319676111 856 4 $uhttps://link.springer.com/book/10.1007/978-3-319-67612-8#toc$zAn electronic book accessible through the World Wide Web 907 $a.b14354470$b07-04-22$c27-11-18 912 $a991003576719707536 996 $aCauchy problem for differential operators with double characteristics$91522944 997 $aUNISALENTO 998 $ale013$b27-11-18$cm$d@ $e-$feng$ggw $h0$i0 LEADER 01633nam 2200493 450 001 9910157541403321 005 20160511180541.0 010 $a1-78297-855-0 010 $a1-78297-853-4 035 $a(CKB)3710000001001229 035 $a(MiAaPQ)EBC4774099 035 $a(EXLCZ)993710000001001229 100 $a20170111h20162016 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 14$aThe Archaeology of the Lower City and Adjacent Suburbs /$fKate Steane, with Margaret J. Darling [and four others] 210 1$aOxford, [England] ;$aHavertown, [Pennsylvania] :$cOxbow Books,$d2016. 210 4$d©2016 215 $a1 online resource (565 pages) $cillustrations, maps 225 1 $aLincoln Archaeological Studies ;$vVolume 4 311 $a1-78297-852-6 320 $aIncludes bibliographical references and index. 410 0$aLincoln archaeological studies ;$vVolume 4. 606 $aExcavations (Archaeology)$zEngland$zLincoln 606 $aRomans$zEngland$zLincoln 606 $aPottery, Roman$zEngland$zLincoln 607 $aLincoln (England)$xAntiquities 607 $aLincoln (England)$xAntiquities, Roman 615 0$aExcavations (Archaeology) 615 0$aRomans 615 0$aPottery, Roman 676 $a942.534 700 $aSteane$b Kate$0873927 702 $aDarling$b Margaret J. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910157541403321 996 $aThe Archaeology of the Lower City and Adjacent Suburbs$92786958 997 $aUNINA LEADER 01032nam 2200373 450 001 9910795527603321 005 20230814215110.0 010 $a88-89688-10-6 035 $a(CKB)5120000000125592 035 $a(MiAaPQ)EBC5559318 035 $a(Au-PeEL)EBL5559318 035 $a(OCoLC)1059414956 035 $a(EXLCZ)995120000000125592 100 $a20181213d2018 uy 0 101 0 $aita 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 12$aL'emogasanalisi $eTutti i segreti in 20 casi clinici /$fMauro Mennuni 210 1$aTorino, Italia :$cSEEd,$d2018. 215 $a1 online resource (241 pages) 311 $a88-89688-09-2 606 $aBlood gases$xAnalysis 615 0$aBlood gases$xAnalysis. 676 $a616.07561 700 $aMennuni$b Mauro$01550105 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910795527603321 996 $aL'emogasanalisi$93817063 997 $aUNINA