| Description |
1 online resource (vii, 333 pages) : illustrations |
| Series |
Lectures in mathematics ETH Zürich |
|
Lectures in mathematics ETH Zürich.
|
| Contents |
1. Curves and gradients in metric spaces -- 2. Existence of curves of maximal slope and their variational approximation -- 3. Proofs of the convergence theorems -- 4. Uniqueness, generation of contraction semigroups, error estimates -- 5. Preliminary results on measure theory -- 6. The optimal transportation problem -- 7. The Wasserstein distance and its behaviour along geodesics -- 8. A.C. curves in P[subscript p](X) and the continuity equation -- 9. Convex functionals in P[subscript p](X) -- 10. Metric slope and subdifferential calculus in P[subscript p](X) -- 11. Gradient flows and curves of maximal slope in P[subscript p](X) -- 12. Appendix |
| Summary |
"This book is devoted to a theory of gradient flows in spaces which are not necessarily endowed with a natural linear or differentiable structure. It consists of two parts, the first one concerning gradient flows in metric spaces and the second one devoted to gradient flows in the space of probability measures on a separable Hilbert space, endowed with the Kantorovich-Rubinstein-Wasserstein distance."--Jacket |
| Bibliography |
Includes bibliographical references (pages 321-329) and index |
| In |
OhioLINK electronic book center |
|
SpringerLink |
| Subject |
Measure theory.
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Metric spaces.
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Differential equations, Parabolic.
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Monotone operators.
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Evolution equations, Nonlinear.
|
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MATHEMATICS -- Calculus.
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MATHEMATICS -- Mathematical Analysis.
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Metric spaces.
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Differential equations, Parabolic.
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Monotone operators.
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Evolution equations, Nonlinear.
|
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Measure theory.
|
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Teoría de la medida
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Espacios métricos
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Differential equations, Parabolic
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Evolution equations, Nonlinear
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Measure theory
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Metric spaces
|
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Monotone operators
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| Form |
Electronic book
|
| Author |
Gigli, Nicola
|
|
Savaré, Giuseppe
|
| ISBN |
3764324287 |
|
9783764324285 |
|
3764373091 |
|
9783764373092 |
|
