Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets

• Main Authors: Mazón, José M. (Author, http://id.loc.gov/vocabulary/relators/aut), Rossi, Julio Daniel (http://id.loc.gov/vocabulary/relators/aut), Toledo, J. Julián (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.
• Edition: 1st ed. 2019.
• Series: Frontiers in Mathematics,
• Subjects: Integral equations.; Measure theory.; Calculus of variations.; Partial differential equations.; Integral Equations.; Measure and Integration.; Calculus of Variations and Optimal Control; Optimization.; Partial Differential Equations.

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 curvatu...

Table of Contents:

• 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.