Weak Solutions to Gradient Flows in Metric Measure Spaces (Cambridge Tracts in Mathematics) - Hardcover

Name: Weak Solutions to Gradient Flows in Metric Measure Spaces (Cambridge Tracts in Mathematics)
Author: G�rny, Wojciech; Maz�n, Jos� M.
ISBN: 9781009741125

G�rny, Wojciech ; Maz�n, Jos� M.

9781009741125: Weak Solutions to Gradient Flows in Metric Measure Spaces (Cambridge Tracts in Mathematics)

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ISBN 10: 1009741128 ISBN 13: 9781009741125

Verlag: Cambridge University Press, 2026

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A timely introduction to the concept of weak solutions to gradient flows of convex functionals in metric measure spaces.

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�ber die Autorinnen und Autoren

Wojciech G�rny is currently Associate Professor at the University of Warsaw and works primarily in calculus of variations, functional analysis, and PDEs. He previously co-authored the book 'Functions of Least Gradient' (2024) with Jose M. Maz�n.

Jos� M. Maz�n is Professor Emeritus in the Department of Mathematical Analysis at the University of Valencia. His research centres around Nonlinear Partial Differential Equations. He has authored approximately 130 papers and five books, one of which was awarded the Ferran Sunyer i Balaguer Prize in 2003.

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Verlag: Cambridge University Press
Erscheinungsdatum: 2026
Sprache: Englisch
ISBN 10: 1009741128
ISBN 13: 9781009741125
Einband: Gebundene Ausgabe
Anzahl der Seiten: 242
Kontakt zum Hersteller: Cambridge University Press
https://www.cambridge.org/

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Weak Solutions to Gradient Flows in Metric Measure Spaces (Cambridge Tracts in Mathematics)

G� rny, Wojciech,Maz� n, Jos� M.

Verlag: Cambridge University Press, 2026

ISBN 10: 1009741128 ISBN 13: 9781009741125

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Weak Solutions To Gradient Flows In Metric Measure Spaces

G�rny, Wojciech; Maz�n, Jos� M.

Verlag: Cambridge University Press, 2026

ISBN 10: 1009741128 ISBN 13: 9781009741125

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Weak Solutions to Gradient Flows in Metric Measure Spaces (Hardcover)

Wojciech Gorny

Verlag: Cambridge University Press, Cambridge, 2026

ISBN 10: 1009741128 ISBN 13: 9781009741125

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Hardcover. Zustand: new. Hardcover. Filling a gap in the literature, this book explores the theory of gradient flows of convex functionals in metric measure spaces, with an emphasis on weak solutions. It is largely self-contained and assumes only a basic understanding of functional analysis and partial differential equations. With appendices on convex analysis and the basics of analysis in metric spaces, it provides a clear introduction to the topic for graduate students and non-specialist researchers, and a useful reference for anyone working in analysis and PDEs. The text focuses on several key recent developments and advances in the field, paying careful attention to technical detail. These include how to use a first-order differential structure to construct weak solutions to the p-Laplacian evolution equation and the total variation flow in metric spaces, how to show a EulerLagrange characterisation of least gradient functions in this setting, and how to study metric counterparts of Cheeger problems. 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. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verk�ufers 9781009741125

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Weak Solutions To Gradient Flows In Metric Measure Spaces

G�rny, Wojciech; Maz�n, Jos� M.

Verlag: Cambridge University Press, 2026

ISBN 10: 1009741128 ISBN 13: 9781009741125

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Weak Solutions to Gradient Flows in Metric Measure Spaces

Wojciech G�rny, Jos� M. Maz�n

Verlag: Cambridge University Press, GB, 2026

ISBN 10: 1009741128 ISBN 13: 9781009741125

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Hardback. Zustand: New. Filling a gap in the literature, this book explores the theory of gradient flows of convex functionals in metric measure spaces, with an emphasis on weak solutions. It is largely self-contained and assumes only a basic understanding of functional analysis and partial differential equations. With appendices on convex analysis and the basics of analysis in metric spaces, it provides a clear introduction to the topic for graduate students and non-specialist researchers, and a useful reference for anyone working in analysis and PDEs. The text focuses on several key recent developments and advances in the field, paying careful attention to technical detail. These include how to use a first-order differential structure to construct weak solutions to the p-Laplacian evolution equation and the total variation flow in metric spaces, how to show a Euler-Lagrange characterisation of least gradient functions in this setting, and how to study metric counterparts of Cheeger problems. Bestandsnummer des Verk�ufers LU-9781009741125

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