Center for                           Nonlinear Analysis CNA Home People Seminars Publications Workshops and Conferences CNA Working Groups CNA Comments Form Summer Schools Summer Undergraduate Institute PIRE Cooperation Graduate Topics Courses SIAM Chapter Seminar Positions Contact CNA Seminar/Colloquium/Joint Pitt-CNA Colloquium Pedro Santos Instituto Superior Tecnico Lisbon Title: Lower semicontinuity of signed functionals with linear growth in the context of $A$-quasiconvexity Abstract: We will discuss lower semicontinuity results with respect to weak* convergence of measures for functionals of the type $$I(\mu)= \int_\Omega f(\mu_a)\,dx + \int_\Omega f^{\infty} (\frac{d \mu_s}{d|\mu_s|}) d|\mu_s|,$$ where $\mu=\mu_a(x) dx+\mu_s$ is the Radon-Nikodym decomposition of the bounded Radon measure $\mu$ with respect to the Lebesgue measure, along sequences constrained by a first order partial differential operator of constant coefficients and constant rank.Pdf File: PedroSantos.pdfDate: Thursday, September 8, 2011Time: 1:30 pmLocation: Submitted by:  David Kinderlehrer