On the Inequalities of Babuška-Aziz, Friedrichs and Horgan-Payne
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| 024 | 7 | 0 | |a 10.1007/s00205-015-0845-2 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-015-0845-2 | ||
| 245 | 0 | 0 | |a On the Inequalities of Babuška-Aziz, Friedrichs and Horgan-Payne |h [Elektronische Daten] |c [Martin Costabel, Monique Dauge] |
| 520 | 3 | |a The equivalence between the inequalities of Babuška-Aziz and Friedrichs for sufficiently smooth bounded domains in the plane was shown by Horgan and Payne 30years ago. We prove that this equivalence, and the equality between the associated constants, is true without any regularity condition on the domain. For the Horgan-Payne inequality, which is an upper bound of the Friedrichs constant for plane star-shaped domains in terms of a geometric quantity known as the Horgan-Payne angle, we show that it is true for some classes of domains, but not for all bounded star-shaped domains. We prove a weaker inequality that is true in all cases. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2015 | ||
| 700 | 1 | |a Costabel |D Martin |u IRMAR UMR 6625 du CNRS, Université de Rennes 1, Campus de Beaulieu, 35042, Rennes Cedex, France |4 aut | |
| 700 | 1 | |a Dauge |D Monique |u IRMAR UMR 6625 du CNRS, Université de Rennes 1, Campus de Beaulieu, 35042, Rennes Cedex, France |4 aut | |
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 217/3(2015-09-01), 873-898 |x 0003-9527 |q 217:3<873 |1 2015 |2 217 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-015-0845-2 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00205-015-0845-2 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Costabel |D Martin |u IRMAR UMR 6625 du CNRS, Université de Rennes 1, Campus de Beaulieu, 35042, Rennes Cedex, France |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Dauge |D Monique |u IRMAR UMR 6625 du CNRS, Université de Rennes 1, Campus de Beaulieu, 35042, Rennes Cedex, France |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 217/3(2015-09-01), 873-898 |x 0003-9527 |q 217:3<873 |1 2015 |2 217 |o 205 | ||