Optimal transport for applied mathematicians : calculus of variations, PDEs, and modeling
This monograph presents a rigorous mathematical introduction to optimal transport as a variational problem, its use in modeling various phenomena, and its connections with partial differential equations. Its main goal is to provide the reader with the techniques necessary to understand the current r...
Gorde:
| Egile nagusia: | |
|---|---|
| Formatua: | Livre papier |
| Hizkuntza: | Anglais |
| Argitaratua: |
Cham [etc.] :
Birkhäuser
C 2015.
|
| Saila: | Progress in nonlinear differential equations and their applications
volume 87 |
| Gaiak: | |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Optimal Transport for Applied Mathematicians, Calculus of Variations, PDEs, and Modeling, by Filippo Santambrogio, 1st ed. 2015., 2015, Cham, Springer International Publishing, Progress in Nonlinear Differential Equations and Their Applications, 978-3-319-20828-2 • Optimal transport for applied mathematicians, calculus of variations, PDEs, and modeling, Filippo Santambrogio, 2023, [Basel], Birkhäuser, Springer International Publishing, Progress in nonlinear differential equations and their applications, 978-3-319-20828-2 |
Aurkibidea:
- Preface
- Primal and Dual Problems
- One-Dimensional Issues
- L^1 and L^infinity Theory
- Minimal Flows
- Wasserstein Spaces
- Numerical Methods
- Functionals over Probabilities
- Gradient Flows
- Exercises
- References
- Index