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

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

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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