Email this article Abstract Green Formulas for Triples of Hilbert Spaces and Sesquilinear Forms
- Authors: Kopachevsky N.D.1
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Affiliations:
- Crimea Federal University
- Issue: Vol 225, No 2 (2017)
- Pages: 226-264
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239745
- DOI: https://doi.org/10.1007/s10958-017-3470-9
- ID: 239745
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Abstract
In this paper, under several general assumptions, we deduce an abstract Green formula for a triple of Hilbert spaces and an (abstract) trace operator and a similar formula corresponding to sesquilinear forms. We establish existence conditions for the abstract Green formula for mixed boundary-value problems. As the main application, we deduce generalized Green formulas for the Laplace operator applied to boundary-value problems in Lipschitz domains.
About the authors
N. D. Kopachevsky
Crimea Federal University
Author for correspondence.
Email: kopachevsky@list.ru
Russian Federation, Simferopol, Crimea
