Green's theorem from the viewpoint of applications

Author: eníek A.

Source: Applications of Mathematics, Volume 44, Number 1, February 1999 , pp. 55-80(26)

Publisher: Springer

Abstract:

Making use of a line integral defined without use of the partition of unity, Green's theorem is proved in the case of two-dimensional domains with a Lipschitz-continuous boundary for functions belonging to the Sobolev spaces W^{1, p} (\Omega) \equiv H^{1,p} (\Omega) (1 p < ).

Keywords: Green's theorem; elliptic problems; variational problems

Language: English

Document Type: Research article

Affiliations: 1: Department of Mathematics, Technical University Brno, Technická 2, 616 69 Brno, Czech Republic. zenisek@mat.fme.vutbr.cz

Publication date: 1999-02-01

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