(1) Institute for Applied Mathematics, University of Hannover, 30167 Hannover, Germany;(2) Department of Mathematics, Vanderbilt University, 37240 Nashville, TN, USA
Abstract:
It is shown that solutions to fully nonlinear parabolic evolution equations on symmetric Riemannian manifolds are real analytic in space and time, provided the propagator is compatible with the underlying Lie structure. Applications to Bellman equations and to a class of mean curvature flows are also discussed.
