Abstract Green Formulas for Triples of Hilbert Spaces and Sesquilinear Forms
- Autores: Kopachevsky N.1
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Afiliações:
- Crimea Federal University
- Edição: Volume 225, Nº 2 (2017)
- Páginas: 226-264
- Seção: 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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Resumo
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.
Sobre autores
N. Kopachevsky
Crimea Federal University
Autor responsável pela correspondência
Email: kopachevsky@list.ru
Rússia, Simferopol, Crimea