Ambrosio, Luigi
Gradient Flows
1. Introduction
2. Notation
Part I. Gradient Flow in Metric Spaces
3. Curves and Gradients in Metric Spaces
4. Existence of Curves of Maximal Slope and their Variational Approximation
5. Proofs of the Convergence Theorems
6. Uniqueness, Generation of Contraction Semigroups, Error Estimates
Part II. Gradient Flow in the Space of Probability Measures
7. Preliminary Results on Measure Theory
8. The Optimal Transportation Problem
9. The Wasserstein Distance and its Behaviour along Geodesics
10. Absolutely Continuous Curves in
11. Convex Functionals in
12. Metric Slope and Subdifferential Calculus in (
13. Gradient Flows and Curves of Maximal Slope in
14. Appendix
Avainsanat: MATHEMATICS / General MAT000000
- Tekijä(t)
- Ambrosio, Luigi
- Gigli, Nicola
- Savaré, Giuseppe
- Julkaisija
- Springer
- Julkaisuvuosi
- 2008
- Kieli
- en
- Painos
- 1
- Kategoria
- Eksaktit luonnontieteet
- Tiedostomuoto
- E-kirja
- eISBN (PDF)
- 9783764387228