A relation between Gamma convergence of functionals and their associated gradient flows

2003/01/15 by Huiayu Jian
Mathematics · #math.AP #msc:55K35

paper · pdf

published as Science in China, Ser.A, 42(1999), 133-139

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

Abstract

De Giorgi conjectured in 1979 that if a sequence of functionals converges in the sense of Gamma-convergence to a limiting functional, then the corresponding gradient flows will converge as well after changing timescale appropriately. It is shown that this conjecture holds true for a rather wide kind of functionals.

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