Browsing by Author "Morini, Massimiliano"

Now showing 1 - 3 of 3
  • Thumbnail Image
    Item
    A note on the differentiability of Lipschitz functions and the chain rule in Sobolev spaces
    (2008-05-12T11:42:21Z) Morini, Massimiliano; Mathematics; Functional Analysis and Applications
  • Thumbnail Image
    Item
    Stable regular critical points of the Mumford-Shah functional are local minimizers
    (SISSA, 2013-07) Bonacini, Marco; Morini, Massimiliano; Mathematics
    In this paper it is shown that any regular critical point of the Mumford-Shah functional, with positive definite second variation, is an isolated local minimizer with respect to competitors which are sufficiently close in the L^1-topology.
  • Thumbnail Image
    Item
    Time-dependent systems of generalized Young measures
    (2005) Dal Maso, Gianni; DeSimone, Antonio; Mora, Maria Giovanna; Morini, Massimiliano; Mathematics; Functional Analysis and Applications
    In this paper some new tools for the study of evolution problems in the framework of Young measures are introduced. A suitable notion of time-dependent system of generalized Young measures is defined, which allows to extend the classical notions of total variation and absolute continuity with respect to time, as well as the notion of time derivative. The main results are a Helly type theorem for sequences of systems of generalized Young measures and a theorem about the existence of the time derivative for systems with bounded variation with respect to time.