A generalization of Caffarelli’s contraction theorem via (reverse) heat flow-Reference-Cited by-同舟云学术

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A generalization of Caffarelli’s contraction theorem via (reverse) heat flow

Published:2011-11-17 Issue:3 Volume:354 Page:827-862
ISSN:0025-5831
Container-title:Mathematische Annalen
language:en
Short-container-title:Math. Ann.

Author:

Kim Young-Heon,Milman Emanuel

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00208-011-0749-x.pdf

Reference54 articles.

1. Alvarez O., Lasry J.-M., Lions P.-L.: Convex viscosity solutions and state constraints. J. Math. Pures Appl. (9) 76(3), 265–288 (1997)

2. Bakry, D.: Transformations de Riesz pour les semi-groupes symétriques. II. Étude sous la condition Γ2 ≥ 0. In: Séminaire de probabilités, XIX, 1983/84. Lecture Notes in Math., vol. 1123, pp. 145–174. Springer, Berlin (1985)

3. Barthe F.: Log-concave and spherical models in isoperimetry. Geom. Funct. Anal. 12(1), 32–55 (2002)

4. Barthe F., Cattiaux P., Roberto C.: Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry. Rev. Mat. Iberoamericana 22(3), 993–1067 (2006)

5. Barthe, F., Cattiaux, P., Roberto, C.: Isoperimetry between exponential and Gaussian. Electron. J. Probab. 12(44), 1212–1237 (2007, electronic)

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