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100   $a19970908h19981998  uy|            0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aHodge theory in the Sobolev topology for the de Rham complex /$fLuigi Fontana, Steven G. Krantz, Marco M. Peloso
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1998]
210  4$d©1998
215   $a1 online resource (114 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 622
300   $a"January 1998, volume 131, number 622 (second of 4 numbers)."
311   $a0-8218-0830-3 
320   $aIncludes bibliographical references (pages 98-100).
327   $a""CONTENTS""; ""PRELIMINARIES""; ""0. Introductory Remarks""; ""1. Basic Notation and Definitions""; ""2. Formulation of the Problem and Statement of the Main Results""; ""THE PROBLEM ON THE HALF SPACE""; ""3. The Operator d* on 1-Forms and Its Domain""; ""The Operators K and d*""; ""4. Boutet de Monvel-Type Analysis of the Boundary Value Problem""; ""5. The Explicit Solution in the Case of Functions""; ""The a priori Estimate""; ""The Existence Theorem""; ""6. Analysis of the Problem on the Half Space for q-Forms""; ""THE CASE OF SMOOTHLY BOUNDED DOMAINS""
327   $a""7. Formulation of the Problem on a Smoothly Bounded Domain""""8. A Special Coordinate System""; ""The Tangential Laplacian""; ""The Operator GI?© on Functions""; ""9. The Existence Theorem""; ""The Coercive Estimate""; ""10. The Regularity Theorem in the Case of Functions""; ""The Interior Estimate""; ""The Boundary Estimate""; ""11. Estimates for q-Forms""; ""The Regularity Theorem""; ""Proof of Theorem 11.3""; ""12. The Decomposition Theorem and Conclusions""; ""Proof of the Main Result""; ""Decomposition of W[sup(1)][sub(q)]""; ""13. Final Remarks""; ""References""
410  0$aMemoirs of the American Mathematical Society ;$vno. 622.
606   $aHodge theory
606   $aDifferential equations, Elliptic
606   $aBoundary value problems
606   $aComplexes
608   $aElectronic books.
615  0$aHodge theory.
615  0$aDifferential equations, Elliptic.
615  0$aBoundary value problems.
615  0$aComplexes.
676   $a510 s
676   $a515/.353
700   $aFontana$b Luigi$f1960-$0919062
702   $aKrantz$b Steven G$g(Steven George),$f1951-
702   $aPeloso$b Marco M.
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910480945003321
996   $aHodge theory in the Sobolev topology for the de Rham complex$92061299
997   $aUNINA