摘要 : This paper studies Γ-convergence for a sequence of parabolic functionals, Fε(u) =∫TO∫Ωf(x/ε, t,Δu)dxdt as ε→ 0, where the integrand f is nonconvex, and periodic on the first variable. The author obtains the representation formula ... 展开 This paper studies Γ-convergence for a sequence of parabolic functionals, Fε(u) =∫TO∫Ωf(x/ε, t,Δu)dxdt as ε→ 0, where the integrand f is nonconvex, and periodic on the first variable. The author obtains the representation formula of the Γ-limit. The 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. 收起