UBC Mathematics Colloquium
Lagrangian Mean Curvature flow for entire Lipschitz graphs
Fri., Sept. 25, 2009, 3:00pm, MATX 1100
In this talk I will give a brief introduction to the mean
curvature flow and review some classic theory and results in the
will then introduce the Lagrangian mean curvature flow and discuss
results which can be viewed as Lagrangian versions of classic results of
Ecker-Huisken on the mean curvature flow of entire hypersurfaces.
particular, we prove existence of longtime smooth solutions to mean
curvature flow of entire Lipschitz Lagrangian graphs. As an
our estimates we classify all self-similar entire solutions to
mean curvautre flow satisfying certain conditions. The results are from
joint work with Jingyi Chen and Weiyong He.