Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets

Name: Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets
SKU: 28825637
Price: 148.99 AUD
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Paperback / softback

Series:

Frontiers in Mathematics

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Description

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.

Release date Australia

April 29th, 2019

Author

Audience

Professional & Vocational

Edition

1st ed. 2019

Illustrations

1 Illustrations, color; 1 Illustrations, black and white; XVIII, 123 p. 2 illus., 1 illus. in color.

Pages

123

Series

Frontiers in Mathematics

ISBN-13

9783030062422

Product ID

28825637

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