Academic Journal

Elliptic problems for the Dolbeault complex

Bibliographic Details
Title:	Elliptic problems for the Dolbeault complex
Authors:	Kytmanov, Aleksandr, Myslivets, Simona, Schulze, Bert-Wolfgang (Prof. Dr.), Tarkhanov, Nikolai Nikolaevich
Source:	Mathematische Nachrichten. 278:194-215
Publication Status:	Preprint
Publisher Information:	Wiley, 2004.
Publication Year:	2004
Subject Terms:	ddc:510, Dolbeault complex, Fredholm complex, Pseudodifferential operators in several complex variables, elliptic complex, Institut für Mathematik, Integral representations, canonical kernels (Szegő, Bergman, etc.), $\overline\partial$ and $\overline\partial$-Neumann operators
Description:	The inhomogeneous$ \overline \partial $‐equation is an inexhaustible source of locally unsolvable equations, subelliptic estimates and other phenomena in partial differential equations. Loosely speaking, for the analysis on complex manifolds with boundary nonelliptic problems are typical rather than elliptic ones. Using explicit integral representations we assign a Fredholm complex to the Dolbeault complex over an arbitrary bounded domain in ℂn. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Document Type:	Article
File Description:	application/xml; application/pdf
Language:	English
ISSN:	1522-2616 0025-584X
DOI:	10.1002/mana.200310235
Access URL:	https://publishup.uni-potsdam.de/files/2388/2001_13.pdf https://publishup.uni-potsdam.de/opus4-ubp/frontdoor/index/index/year/2017/docId/13740 https://publishup.uni-potsdam.de/frontdoor/index/index/docId/13740 https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-25979 https://publishup.uni-potsdam.de/files/2388/2001_13.pdf https://publishup.uni-potsdam.de/frontdoor/index/index/docId/2388
Rights:	Wiley Online Library User Agreement URL: http://rightsstatements.org/vocab/InC/1.0/
Accession Number:	edsair.doi.dedup.....5499cbb94a8de513f49b5e374c4f1195
Database:	OpenAIRE

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Description
ISSN:	15222616 0025584X
DOI:	10.1002/mana.200310235