Functions of bounded variation and free discontinuity problems - Ambrosio, Luigi; Fusco, Nicola; Pallara, Diego (Oxford Clarendon Press, 2000)
Measure theory -- Basic geometric measure theory -- Functions of bounded variation -- Special functions of bounded variation -- Semicontinuity in BV -- The Mumford-Shah functional -- Minimisers of free discontinuity problems -- Regularity of the free discontinuity set.
Includes bibliographical references and index.
Keywords: Calculus of variations; Functions of bounded variation