Téléchargez le livre : Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets

Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets

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Éditeur :

Birkhäuser


Collection :

Frontiers in Mathematics

Paru le : 2019-04-10

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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.
Pages
123 pages
Collection
Frontiers in Mathematics
Parution
2019-04-10
Marque
Birkhäuser
EAN papier
9783030062422
EAN PDF
9783030062439
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
12
Taille du fichier
1382 Ko
Prix
58,01 €
EAN EPUB
9783030062439
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
12
Taille du fichier
7844 Ko
Prix
58,01 €

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