Pekka Koskela: 2 books
by Stanislav Hencl, Pekka Koskela
Language: English
Release Date: January 24, 2014
Language: English
Release Date: January 24, 2014
In this book we introduce the class of mappings of finite distortion as a generalization of the class of mappings of bounded distortion. Connections with models of nonlinear elasticity are also discussed. We study continuity properties, behavior of our mappings on null sets, topological properties...
Sobolev Spaces on Metric Measure Spaces
An Approach Based on Upper Gradients
Language: English
Release Date: February 5, 2015
Analysis on metric spaces emerged in the 1990s as an independent research field providing a unified treatment of first-order analysis in diverse and potentially nonsmooth settings. Based on the fundamental concept of upper gradient, the notion of a Sobolev function was formulated in the setting of...