Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets
Language: English
Published by Springer International Publishing, 2019
- Softcover
- New
Condition: New
£ 45.82
Quantity: Over 20 available
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Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Contains the first systematic presentation of nonlocal curvature and perimeter for measurable setsWith applications to minimal surfacesNonlocal heat content is also studiedContains the first sys.
Seller Inventory # 257454845
- Title
- Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets
- Author
- José M. Mazón|Julio Daniel Rossi|J. Julián Toledo
- Publisher
- Springer International Publishing
- Publication year
- 2019
- Condition
- New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 3030062422
- ISBN 13
- 9783030062422
- Series
- Book 40 of 48: Frontiers in Mathematics
- Seller catalogs
- Mathematik/Naturwissenschaften/Technik/Medizin
This book highlights the latest developments in the geometry of measurable sets, presenting them in simple, straightforward terms. It addresses nonlocal notions of perimeter and curvature and studies in detail the minimal surfaces associated with them.
These notions of nonlocal perimeter and curvature are defined on the basis of a non-singular kernel. Further, when the kernel is appropriately rescaled, they converge toward the classical perimeter and curvature as the rescaling parameter tends to zero. In this way, the usual notions can be recovered by using the nonlocal ones. In addition, nonlocal heat content is studied and an asymptotic expansion is obtained.
Given its scope, the book is intended for undergraduate and graduate students, as well as senior researchers interested in analysis and/or geometry.
"Synopsis" may belong to another edition of this title.
From the Back Cover
These notions of nonlocal perimeter and curvature are defined on the basis of a non-singular kernel. Further, when the kernel is appropriately rescaled, they converge toward the classical perimeter and curvature as the rescaling parameter tends to zero. In this way, the usual notions can be recovered by using the nonlocal ones. In addition, nonlocal heat content is studied and an asymptotic expansion is obtained.
Given its scope, the book is intended for undergraduate and graduate students, as well as senior researchers interested in analysis and/or geometry.
"About the title" may belong to another edition of this title.
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