Frontiers in Mathematics

Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets

Authors: Mazon, Jose M., Rossi, Julio, Toledo, J.

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  • Contains the first systematic presentation of nonlocal curvature and perimeter for measurable sets
  • With applications to minimal surfaces
  • Nonlocal heat content is also studied
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eBook $54.99
price for USA in USD (gross)
  • ISBN 978-3-030-06243-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA in USD
  • ISBN 978-3-030-06242-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.


Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $54.99
price for USA in USD (gross)
  • ISBN 978-3-030-06243-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA in USD
  • ISBN 978-3-030-06242-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets
Authors
Series Title
Frontiers in Mathematics
Copyright
2019
Publisher
Birkhäuser Basel
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-06243-9
DOI
10.1007/978-3-030-06243-9
Softcover ISBN
978-3-030-06242-2
Series ISSN
1660-8046
Edition Number
1
Number of Pages
XVIII, 123
Number of Illustrations
1 b/w illustrations, 1 illustrations in colour
Topics