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Elliptic problems for the Dolbeault complex

✍ Scribed by A. Kytmanov; S. Myslivets; B.-W. Schulze; N. Tarkhanov

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
250 KB
Volume
278
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

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 β„‚^n^. (Β© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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