Functionals Depending on Vector - valued Functions over Parabolic Domains
نویسنده
چکیده
We study Γ-convergence for a sequence of parabolic function-als, F ε (u) = T 0 Ω f (x ε , t, ∇u)dxdt as ε → 0, where the integrand f is nonconvex, and periodic on the first variable. We obtain the representation formula of the Γ-limit. Our results in this paper support a conclusion which relates Γ-convergence of parabolic functionals to the associated gradient flows and confirms one of De Giorgi's conjectures partially. 1. INTRODUCTION We begin with the characterization of Γ-convergence in [1, 2]. DEFINITION 1.1. Let (X, τ) be a first countable topological space and {F h }
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