03176nam 2200637 450 991048094500332120170822144137.01-4704-0211-4(CKB)3360000000464806(EBL)3114351(SSID)ssj0000888986(PQKBManifestationID)11453159(PQKBTitleCode)TC0000888986(PQKBWorkID)10866176(PQKB)10593601(MiAaPQ)EBC3114351(PPN)19541506X(EXLCZ)99336000000046480619970908h19981998 uy| 0engur|n|---|||||txtccrHodge theory in the Sobolev topology for the de Rham complex /Luigi Fontana, Steven G. Krantz, Marco M. PelosoProvidence, Rhode Island :American Mathematical Society,[1998]©19981 online resource (114 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 622"January 1998, volume 131, number 622 (second of 4 numbers)."0-8218-0830-3 Includes bibliographical references (pages 98-100).""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""""7. Formulation of the Problem on a Smoothly Bounded Domain""""8. A Special Coordinate System""; ""The Tangential Laplacian""; ""The Operator GΩ 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""Memoirs of the American Mathematical Society ;no. 622.Hodge theoryDifferential equations, EllipticBoundary value problemsComplexesElectronic books.Hodge theory.Differential equations, Elliptic.Boundary value problems.Complexes.510 s515/.353Fontana Luigi1960-919062Krantz Steven G(Steven George),1951-Peloso Marco M.MiAaPQMiAaPQMiAaPQBOOK9910480945003321Hodge theory in the Sobolev topology for the de Rham complex2061299UNINA