José M. Mazón & Julio Daniel Rossi 
Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets [PDF ebook] 

Apoio

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.


€58.84
Métodos de Pagamento

Tabela de Conteúdo

Nonlocal Perimeter.- Nonlocal Isoperimetric Inequality.- Nonlocal Minimal Surfaces and Nonlocal Curvature.- Nonlocal Operators.- Nonlocal Cheeger and Calibrable Sets.- Nonlocal Heat Content.- A Nonlocal Mean Curvature Flow.- Bibliography.- Index.

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Língua Inglês ● Formato PDF ● Páginas 123 ● ISBN 9783030062439 ● Tamanho do arquivo 1.4 MB ● Editora Springer International Publishing ● Cidade Cham ● País CH ● Publicado 2019 ● Carregável 24 meses ● Moeda EUR ● ID 6958298 ● Proteção contra cópia DRM social

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