Weak solutions to gradient flows in metric measure spaces / Wojciech Górny, José M. Mazón.

Format:

Book

Author/Creator:

Górny, Wojciech (Mathematician), Author.

Mazón, José M., 1953- author.

Series:

Cambridge tracts in mathematics ; 235.

Language:

English

Subjects (All):

Metric spaces.

Measure theory.

Conjugate gradient methods.

Harmonic functions.

Functions of bounded variation.

Physical Description:

xvii, 223 pages ; 24 cm.

Place of Publication:

Cambridge ; New York : Cambridge University Press, 2026.

Summary:

"Filling a gap in the literature, this monograph explores the theory of gradient flows of convex functionals in metric measure spaces. It provides an introduction to the topic for graduate students and researchers in the area, as well as a useful reference for anyone working in analysis and PDEs"-- Provided by publisher.

Contents:

Analysis in metric spaces

The p-Laplacian evolution equation

Gradient flows of functionals with inhomogeneous growth

A general Gauss-Green formula

Total variation flow on the whole space

Total variation flow on bounded domains

Applications to related problems.

Notes:

Includes bibliographical references (pages 212- 221) and index.

Other Format:

Online version Górny, Wojciech (Mathematician) Weak solutions to gradient flows in metric measure spaces

ISBN:

9781009741125

1009741128

OCLC:

1547891869