A relation between Gamma convergence of functionals and their associated gradient flows
Analysis of PDEs
2007-05-23 v1
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.
Cite
@article{arxiv.math/0301155,
title = {A relation between Gamma convergence of functionals and their associated gradient flows},
author = {Huiayu Jian},
journal= {arXiv preprint arXiv:math/0301155},
year = {2007}
}