Gamma-convergence of integral functionals depending on vector-valued functions over parabolic domains

2003/01/15 by Huiayu Jian
Mathematics · #math.AP #msc:35B27 #msc:49J45

paper · pdf

published as Chin. Ann. of Math. 21B(2000), 249-258

arxiv created 2003/01/15 · arxiv updated 2009/11/30

Abstract

De Giorgi conjectured in 1979 that if a sequence of parabolic functionals Gamma converges to a limiting functional, then the corresponding gradient flows will converge as well after changing timescale appropriately. This paper studies the Gamma convergence for a kind of parabolic functionals, and it supports the De Giorgi's conjecture.

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