Article ID Journal Published Year Pages File Type
1896413 Physica D: Nonlinear Phenomena 2010 12 Pages PDF
Abstract
Functions of bounded variation in an abstract Wiener space, i.e., an infinite dimensional Banach space endowed with a Gaussian measure and a related differentiable structure, have been introduced by M. Fukushima and M. Hino using Dirichlet forms, and their properties have been studied with tools from stochastics. In this paper we reformulate, with purely analytical tools, the definition and the main properties of BV functions, and start investigating further properties.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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