An Approach Based on Upper Gradients
by
Juha Heinonen, Pekka Koskela, Nageswari Shanmugalingam
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...