Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets - José M. Mazón, Julio Daniel Rossi, J. Julián Toledo

Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets

Buch | Softcover
XVIII, 123 Seiten
2019 | 1st ed. 2019
Springer International Publishing (Verlag)
978-3-030-06242-2 (ISBN)
58,84 inkl. MwSt

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.


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.

Erscheinungsdatum
Reihe/Serie Frontiers in Mathematics
Zusatzinfo XVIII, 123 p. 2 illus., 1 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 168 x 240 mm
Gewicht 255 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Schlagworte calibrable sets • cheeger sets • heat content • nonlocal evolution problems • Nonlocal operators • non-singular kernels • Partial differential equations • sets of finite perimeter
ISBN-10 3-030-06242-2 / 3030062422
ISBN-13 978-3-030-06242-2 / 9783030062422
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich

von Tilo Arens; Frank Hettlich; Christian Karpfinger …

Buch | Hardcover (2022)
Springer Spektrum (Verlag)
79,99