Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets (Paperback, 1st ed. 2019)

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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Frontiers in Mathematics
Release date:	April 2019
First published:	2019
Authors:	Jose M. Mazon • Julio Daniel Rossi • J. Julian Toledo
Dimensions:	240 x 168mm (L x W)
Format:	Paperback
Pages:	123
Edition:	1st ed. 2019
ISBN-13:	978-3-03-006242-2
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Calculus of variations Books > Science & Mathematics > Mathematics > Optimization > General Promotions
LSN:	3-03-006242-2
Barcode:	9783030062422

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