analysis a class of Sobolev inequalities, relating norms including those of Sobolev spaces. These are used to prove the Sobolev embedding theorem, giving...
21 KB (3,183 words) - 10:14, 31 October 2024
(in French). Touadera, Faustin (1986). Problème de Cauchy matriciels C∞ et dans les espaces de Sobolev à caractéristiques multiples [Matrix Cauchy problems...
18 KB (1,561 words) - 04:13, 14 October 2024
Pólya–Szegő inequality (category Sobolev spaces)
S2CID 16923822. Aubin, Thierry (1976-01-01). "Problèmes isopérimétriques et espaces de Sobolev". Journal of Differential Geometry (in French). 11 (4): 573–598. doi:10...
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curvature. Aubin, Thierry (1976). "Problèmes isopérimétriques et espaces de Sobolev". Journal of Differential Geometry. 11 (4): 573–598. doi:10.4310/jdg/1214433725...
7 KB (787 words) - 07:43, 15 October 2024
Pierre-Louis Lions (category Academic staff of the Collège de France)
optimizing functions for dilation-invariant functional inequalities such as the Sobolev inequality.[L85a] He was able to apply his methods to give a new perspective...
29 KB (2,106 words) - 10:41, 21 August 2024
4310/jdg/1214429638. MR 0279731. Zbl 0212.54102. Aubin, Thierry (1976a). "Espaces de Sobolev sur les variétés riemanniennes". Bulletin des Sciences Mathématiques...
9 KB (959 words) - 17:54, 29 January 2024
fractional Sobolev spaces https://link.springer.com/content/pdf/10.1007/s00526-021-01934-6.pdf J. Deny, J.L. Lions, Les espaces du type de Beppo-Levy...
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Alain. Présentation des archives de Laurent Schwartz. Gaz. Math. No. 100 (2004), 78–79. Kutateladze, S.S. Sobolev and L. Schwartz: two fates, two fames...
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age of 80. Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert (1973) Analyse Fonctionnelle. Théorie et Applications...
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Nicholas Korevaar and Schoen, establishing extensions of most of the standard Sobolev space theory. A sample application of Gromov and Schoen's methods is the...
48 KB (3,749 words) - 22:00, 20 October 2024
Théorie des distributions, vol. 1–2, Hermann. Sobolev, S.L. (1936), "Méthode nouvelle à résoudre le problème de Cauchy pour les équations linéaires hyperboliques...
106 KB (18,992 words) - 11:59, 6 September 2024
266–270. Fulltext MR0274697 Israel M. Gel'fand, Sur un lemme de la théorie des espaces linéaires, Commun. Inst. Sci. Math. et Mecan., Univ. Kharkoff...
11 KB (2,116 words) - 02:47, 26 October 2023
space implicit function theorem even if one uses the Hölder spaces, the Sobolev spaces, or any of the Ck spaces. In any of these settings, an inverse to...
22 KB (3,618 words) - 19:46, 24 October 2024
Mathématiques de l'IHÉS. 19: 5–68. doi:10.1007/BF02684796. S2CID 124471748. (Over 900 citations) Peetre, J. (1966). "Espaces d'interpolation et théorème de Soboleff"...
12 KB (1,358 words) - 08:54, 30 October 2024
tensoriels topologiques et espaces nucléaires". Mem. Amer. Math. Soc. 1955 (1955), no. 16, 140 pp., and A. Grothendieck, "Résumé de la théorie métrique des...
104 KB (17,224 words) - 06:29, 3 October 2024
ISBN 978-0-915692-34-7; translated from 2nd edition of Leçons sur la géométrie des espaces de Riemann (1951) by James Glazebrook. Cartan, Élie (2001), Riemannian Geometry...
127 KB (17,444 words) - 03:32, 17 October 2024
ISBN 978-0-915692-34-7; translated from 2nd edition of Leçons sur la géométrie des espaces de Riemann (1951) by James Glazebrook. Cartan, Élie (2001), Riemannian Geometry...
69 KB (10,191 words) - 09:21, 30 January 2024