LEADER 03173nam 2200709 450 001 9910788561103321 005 20210702032953.0 010 $a3-11-029690-X 010 $a3-11-036906-0 024 7 $a10.1515/9783110296891 035 $a(CKB)3280000000038955 035 $a(EBL)1663054 035 $a(SSID)ssj0001406670 035 $a(PQKBManifestationID)11888521 035 $a(PQKBTitleCode)TC0001406670 035 $a(PQKBWorkID)11401296 035 $a(PQKB)11313041 035 $a(MiAaPQ)EBC1663054 035 $a(DE-B1597)178732 035 $a(OCoLC)1011462059 035 $a(OCoLC)913088348 035 $a(OCoLC)979750439 035 $a(DE-B1597)9783110296891 035 $a(Au-PeEL)EBL1663054 035 $a(CaPaEBR)ebr11049729 035 $a(CaONFJC)MIL807919 035 $a(OCoLC)896786587 035 $a(PPN)182939812 035 $a(EXLCZ)993280000000038955 100 $a20140825h20142014 uy| 0 101 0 $aeng 135 $aurnn#---|u||u 181 $ctxt 182 $cc 183 $acr 200 10$aHo?rmander spaces, interpolation, and elliptic problems /$fVladimir A. Mikhailets, Aleksandr A. Murach 210 1$aBerlin :$cDe Gruyter,$d[2014] 210 4$d©2014 215 $a1 online resource (310 p.) 225 1 $aDe Gruyter studies in mathematics,$x0179-0986 ;$v60 300 $aDescription based upon print version of record. 311 0 $a3-11-029685-3 311 0 $a3-11-029689-6 320 $aIncludes bibliographical references (pages 275-290) and index. 327 $tFront matter --$tPreface --$tPreface to the English edition --$tAcknowledgements --$tContents --$tIntroduction --$tChapter 1. Interpolation and Hörmander spaces --$tChapter 2. Hörmander spaces on closed manifolds and their applications --$tChapter 3. Semihomogeneous elliptic boundary-value problems --$tChapter 4. Inhomogeneous elliptic boundary-value problems --$tChapter 5. Elliptic systems --$tBibliography --$tIndex 330 $aThe monograph gives a detailed exposition of the theory of general elliptic operators (scalar and matrix) and elliptic boundary value problems in Hilbert scales of Ho?rmander function spaces. This theory was constructed by the authors in a number of papers published in 2005-2009. It is distinguished by a systematic use of the method of interpolation with a functional parameter of abstract Hilbert spaces and Sobolev inner product spaces. This method, the theory and their applications are expounded for the first time in the monographic literature. The monograph is written in detail and in a 410 0$aDe Gruyter studies in mathematics ;$v60. 606 $aElliptic operators 606 $aPartial differential operators 615 0$aElliptic operators. 615 0$aPartial differential operators. 676 $a515/.7242 686 $aSK 620$2rvk 700 $aMikhailets$b Vladimir A.$01464319 702 $aMurach$b Aleksandr A. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788561103321 996 $aHo?rmander spaces, interpolation, and elliptic problems$93673907 997 $aUNINA