02652nam 2200577 450 99646667030331620220908101050.03-540-49403-010.1007/BFb0095978(CKB)1000000000437205(SSID)ssj0000323810(PQKBManifestationID)12064878(PQKBTitleCode)TC0000323810(PQKBWorkID)10303827(PQKB)11457984(DE-He213)978-3-540-49403-4(MiAaPQ)EBC5585068(Au-PeEL)EBL5585068(OCoLC)1066199105(MiAaPQ)EBC6842274(Au-PeEL)EBL6842274(PPN)155207482(EXLCZ)99100000000043720520220908d1995 uy 0engurnn|008mamaatxtccrHodge decomposition a method for solving boundary value problems /Günter Schwarz1st ed. 1995.Berlin, Germany :Springer,[1995]©19951 online resource (VIII, 164 p.) Lecture Notes in Mathematics,0075-8434 ;1607Bibliographic Level Mode of Issuance: Monograph3-540-60016-7 Analysis of differential forms -- The hodge decomposition -- Boundary value problems for differential forms.Hodge 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.Lecture Notes in Mathematics,0075-8434 ;1607Boundary value problemsNumerical solutionsBoundary value problemsNumerical solutions.515.96Schwarz Günter1959-1255154MiAaPQMiAaPQMiAaPQBOOK996466670303316Hodge decomposition2910276UNISA