03173nam 2200709 450 991081929570332120210702032953.03-11-029690-X3-11-036906-010.1515/9783110296891(CKB)3280000000038955(EBL)1663054(SSID)ssj0001406670(PQKBManifestationID)11888521(PQKBTitleCode)TC0001406670(PQKBWorkID)11401296(PQKB)11313041(MiAaPQ)EBC1663054(DE-B1597)178732(OCoLC)1011462059(OCoLC)913088348(OCoLC)979750439(DE-B1597)9783110296891(Au-PeEL)EBL1663054(CaPaEBR)ebr11049729(CaONFJC)MIL807919(OCoLC)896786587(PPN)182939812(EXLCZ)99328000000003895520140825h20142014 uy| 0engurnn#---|u||utxtccrHörmander spaces, interpolation, and elliptic problems /Vladimir A. Mikhailets, Aleksandr A. MurachBerlin :De Gruyter,[2014]©20141 online resource (310 p.)De Gruyter studies in mathematics,0179-0986 ;60Description based upon print version of record.3-11-029685-3 3-11-029689-6 Includes bibliographical references (pages 275-290) and index.Front matter --Preface --Preface to the English edition --Acknowledgements --Contents --Introduction --Chapter 1. Interpolation and Hörmander spaces --Chapter 2. Hörmander spaces on closed manifolds and their applications --Chapter 3. Semihomogeneous elliptic boundary-value problems --Chapter 4. Inhomogeneous elliptic boundary-value problems --Chapter 5. Elliptic systems --Bibliography --IndexThe monograph gives a detailed exposition of the theory of general elliptic operators (scalar and matrix) and elliptic boundary value problems in Hilbert scales of Hörmander 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 aDe Gruyter studies in mathematics ;60.Elliptic operatorsPartial differential operatorsElliptic operators.Partial differential operators.515/.7242SK 620rvkMikhailets Vladimir A.1637565Murach Aleksandr A.MiAaPQMiAaPQMiAaPQBOOK9910819295703321Hörmander spaces, interpolation, and elliptic problems3979458UNINA