Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2009 2 (4)
- Authors
- Fedchenko, Dmitry P.
- Contact information
- Fedchenko, Dmitry P. : e-mail:
- Keywords
- Cauchy problem; Cauchy-Riemann operator; Dolbeault complex
- Abstract
Let D be a bounded domain in Cn (n > 1) with a twice smooth boundary @D. We describe necessary and sufficient Cauchy problems solvability conditions for the Dolbeault complex in the space of differential forms of bidegree (0, q), 0 < q < n with coefficients from the Sobolev space H1(D) in the domain D.
- Pages
- 506-516
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/1511
Journal of Siberian Federal University. Mathematics & Physics / On the Cauchy Problem for the Dolbeault Complex in the Sobolev spaces
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