Open AccessA Note on the Poincaré Inequality for Convex Domains
Author(s) -
Mario Bebendorf
Publication year - 2003
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/1170
Subject(s) - poincaré inequality , mathematics , inequality , regular polygon , pure mathematics , poincaré conjecture , mathematical analysis , geometry
In this article a proof for the Poincare inequality with explicit constant for convex domains is given. This proof is a modification of the original proof (5), which is valid only for the two dimensional case.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom