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Eulerian Calculus for the Displacement Convexity in the Wasserstein Distance

✍ Scribed by Daneri, Sara; Savaré, Giuseppe

Book ID
118197717
Publisher
Society for Industrial and Applied Mathematics
Year
2008
Tongue
English
Weight
274 KB
Volume
40
Category
Article
ISSN
0036-1410

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📜 SIMILAR VOLUMES

The Direct Method in the Calculus of Var
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✍ David Jerison 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 435 KB

The purpose of this paper is to calculate the first variation of capacity and of the lowest eigenvalue for the Dirichlet problem in convex domains in R N . These formulas are well known in the smooth case and are due to Poincare and Hadamard, respectively. The point is to prove them in sufficient ge