Abstract Green Formulas for Triples of Hilbert Spaces and Sesquilinear Forms

Autor:	N. D. Kopachevsky
Rok vydání:	2017
Předmět:	Statistics and Probability Applied Mathematics General Mathematics 010102 general mathematics Hilbert space Lipschitz continuity 01 natural sciences 010305 fluids & plasmas Algebra symbols.namesake 0103 physical sciences symbols 0101 mathematics Laplace operator Trace operator Mathematics
Zdroj:	Journal of Mathematical Sciences. 225:226-264
ISSN:	1573-8795 1072-3374
DOI:	10.1007/s10958-017-3470-9
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::19befb6f92e226d3503c08657d51f97a https://doi.org/10.1007/s10958-017-3470-9 Zobrazit plný text záznamu Plný text ve formátu PDF