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A relation between Г-convergence of functionals and their associated gradient flows

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Abstract

Giorgi conjectured in 1979 that if a sequence of functionals converges in the sense of Г-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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Authors and Affiliations

  1. Department of Applied Mathematics, Tsinghua University, 100084, Beijing, China

    Huaiyu Jian

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  1. Huaiyu Jian
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Project supported by the National Natural Science Foundation of China (Grant No. 19701018).

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Jian, H. A relation between Г-convergence of functionals and their associated gradient flows. Sci. China Ser. A-Math. 42, 133–139 (1999). https://doi.org/10.1007/BF02876564

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  • DOI: https://doi.org/10.1007/BF02876564

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