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Extension Operators
Author(s) -
Barbarosie Cristian
Publication year - 2000
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/1522-2616(200010)218:1<5::aid-mana5>3.0.co;2-n
Subject(s) - mathematics , homogenization (climate) , extension (predicate logic) , bounded function , norm (philosophy) , property (philosophy) , operator norm , pure mathematics , mathematical analysis , computer science , biodiversity , ecology , philosophy , epistemology , political science , law , biology , programming language
We study the property of a domain of possesing extension operators bounded in the L 2 –norm of the gradients. We present known results as well as generalizations and refinements. We show how these results can be applied to the homogenization of perforated domains.