Abstract Green Formulas for Triples of Hilbert Spaces and Sesquilinear Forms
- Авторы: Kopachevsky N.1
-
Учреждения:
- Crimea Federal University
- Выпуск: Том 225, № 2 (2017)
- Страницы: 226-264
- Раздел: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239745
- DOI: https://doi.org/10.1007/s10958-017-3470-9
- ID: 239745
Цитировать
Аннотация
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.
Об авторах
N. Kopachevsky
Crimea Federal University
Автор, ответственный за переписку.
Email: kopachevsky@list.ru
Россия, Simferopol, Crimea