LEADER 02652nam 2200577 450 001 996466670303316 005 20220908101050.0 010 $a3-540-49403-0 024 7 $a10.1007/BFb0095978 035 $a(CKB)1000000000437205 035 $a(SSID)ssj0000323810 035 $a(PQKBManifestationID)12064878 035 $a(PQKBTitleCode)TC0000323810 035 $a(PQKBWorkID)10303827 035 $a(PQKB)11457984 035 $a(DE-He213)978-3-540-49403-4 035 $a(MiAaPQ)EBC5585068 035 $a(Au-PeEL)EBL5585068 035 $a(OCoLC)1066199105 035 $a(MiAaPQ)EBC6842274 035 $a(Au-PeEL)EBL6842274 035 $a(PPN)155207482 035 $a(EXLCZ)991000000000437205 100 $a20220908d1995 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aHodge decomposition $ea method for solving boundary value problems /$fGu?nter Schwarz 205 $a1st ed. 1995. 210 1$aBerlin, Germany :$cSpringer,$d[1995] 210 4$dİ1995 215 $a1 online resource (VIII, 164 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1607 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-60016-7 327 $aAnalysis of differential forms -- The hodge decomposition -- Boundary value problems for differential forms. 330 $aHodge theory is a standard tool in characterizing differ- ential complexes and the topology of manifolds. This book is a study of the Hodge-Kodaira and related decompositions on manifolds with boundary under mainly analytic aspects. It aims at developing a method for solving boundary value problems. Analysing a Dirichlet form on the exterior algebra bundle allows to give a refined version of the classical decomposition results of Morrey. A projection technique leads to existence and regularity theorems for a wide class of boundary value problems for differential forms and vector fields. The book links aspects of the geometry of manifolds with the theory of partial differential equations. It is intended to be comprehensible for graduate students and mathematicians working in either of these fields. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1607 606 $aBoundary value problems$xNumerical solutions 615 0$aBoundary value problems$xNumerical solutions. 676 $a515.96 700 $aSchwarz$b Gu?nter$f1959-$01255154 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466670303316 996 $aHodge decomposition$92910276 997 $aUNISA