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

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

2003-01-15

arxiv.org/abs/math/0301155v1

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

Mathematics

Analysis of PDEs

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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