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Journal of Siberian Federal University. Mathematics & Physics, 2011, Volume 4, Issue 3, Pages 406–416
(Mi jsfu200)
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Explicit Carleman formulas for the Dolbeault cohomology in concave domains
Ivan V. Shestakov Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia
Abstract:
In 1999 M. Nacinovich et al. suggested an abstract method for constructing Carleman formulas for the Dolbeault complex. What has been lacking are simple and explicit examples. In this article we present a Carleman formula for Dolbeault cohomology classes given on a part of the boundary whose comlement is concave. As corollary we derive a uniqueness theorem for the Dolbeault cohomology.
Keywords:
Carleman formula, Dolbeault cohomology, analytic continuation.
Received: 11.01.2011 Received in revised form: 11.02.2011 Accepted: 10.04.2011
Citation:
Ivan V. Shestakov, “Explicit Carleman formulas for the Dolbeault cohomology in concave domains”, J. Sib. Fed. Univ. Math. Phys., 4:3 (2011), 406–416
Linking options:
https://www.mathnet.ru/eng/jsfu200 https://www.mathnet.ru/eng/jsfu/v4/i3/p406
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Abstract page: | 322 | Full-text PDF : | 96 | References: | 47 |
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