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

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

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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