Gradient Flows
Subtitle: In Metric Spaces and in the Space of Probability Measures (Lectures in Mathematics. ETH Zürich)
Edition: 1 edition
Publisher: Birkhäuser Basel
Published: December 31, 1899
Language: eng
Format: Paperback
Number of pages: 333
ISBN-13: 9783764324285
Subjects: PHYSICS; Monotone operators; Geometry - Differential; Differential equations, Parabo; Mathematics; Metric spaces; Science/Mathematics; Measure theory; Mathematical Analysis; Calculus; Gradient flows; Mathematics / Mathematical Analysis; Probability measures; Riemannian structures; Differential equations, Parabolic; Evolution equations, Nonlinear
First sentence: As we briefly discussed in the introduction, the notion of gradient flows in a metric space relies on two elementary but basic concepts: the metric derivative of an absolutely continuous curve with values in I and the upper gradients of a functional defined in I.