LEADER 04702nam 22008295 450 001 9910300260303321 005 20200701072604.0 010 $a3-319-14648-3 024 7 $a10.1007/978-3-319-14648-5 035 $a(CKB)3710000000416778 035 $a(SSID)ssj0001501725 035 $a(PQKBManifestationID)11921203 035 $a(PQKBTitleCode)TC0001501725 035 $a(PQKBWorkID)11446222 035 $a(PQKB)10265496 035 $a(DE-He213)978-3-319-14648-5 035 $a(MiAaPQ)EBC5579135 035 $a(MiAaPQ)EBC6314656 035 $a(Au-PeEL)EBL5579135 035 $a(OCoLC)1083469652 035 $a(PPN)186030177 035 $a(EXLCZ)993710000000416778 100 $a20150506d2015 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aSobolev Spaces, Their Generalizations and Elliptic Problems in Smooth and Lipschitz Domains$b[electronic resource] /$fby Mikhail S. Agranovich 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (XIII, 331 p.) 225 1 $aSpringer Monographs in Mathematics,$x1439-7382 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-14647-5 320 $aIncludes bibliographical references and index. 327 $aPreface -- Preliminaries -- 1 The Spaces Hs. -- 2 Elliptic Equations and Elliptic Boundary Value Problems -- 3 The Spaces Hs and Second-Order Strongly Elliptic Systems in Lipschitz Domains -- 4 More General Spaces and Their Applications -- References -- Index. 330 $aThis book, which is based on several courses of lectures given by the author at the Independent University of Moscow, is devoted to Sobolev-type spaces and boundary value problems for linear elliptic partial differential equations. Its main focus is on problems in non-smooth (Lipschitz) domains for strongly elliptic systems.   The author, who is a prominent expert in the theory of linear partial differential equations, spectral theory, and pseudodifferential operators, has included his own very recent findings in the present book.   The book is well suited as a modern graduate textbook, utilizing a thorough and clear format that strikes a good balance between the choice of material and the style of exposition. It can be used both as an introduction to recent advances in elliptic equations and boundary value problems, and as a valuable survey and reference work. It also includes a good deal of new and extremely useful material not available in standard textbooks to date.   Graduate and post-graduate students, as well as specialists working in the fields of partial differential equations, functional analysis, operator theory, and mathematical physics will find this book particularly valuable. 410 0$aSpringer Monographs in Mathematics,$x1439-7382 606 $aPartial differential equations 606 $aFunctional analysis 606 $aOperator theory 606 $aPotential theory (Mathematics) 606 $aIntegral equations 606 $aMathematical physics 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 606 $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139 606 $aPotential Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12163 606 $aIntegral Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12090 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 615 0$aPartial differential equations. 615 0$aFunctional analysis. 615 0$aOperator theory. 615 0$aPotential theory (Mathematics). 615 0$aIntegral equations. 615 0$aMathematical physics. 615 14$aPartial Differential Equations. 615 24$aFunctional Analysis. 615 24$aOperator Theory. 615 24$aPotential Theory. 615 24$aIntegral Equations. 615 24$aMathematical Physics. 676 $a515.782 700 $aAgranovich$b Mikhail S$4aut$4http://id.loc.gov/vocabulary/relators/aut$0536378 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300260303321 996 $aSobolevskie prostranstva, ikh obobshcheniya i ellipticheskie zadachi v oblastyakh s gladkoj i lipshitsevoj granitsej$92440539 997 $aUNINA