Abstract
Local mean value formulas for geometric flow equations
Klaus Ecker
Freie Universitat, Berlin
We will present local monotonicity and mean value formulas for a number of geometric flow equations. The monotonicity formulas establish that an appropriately weighted spacetime portion of energy inside a heat ball (sublevel set a suitably scaled heat kernel) behaves monotonically in the scaling parameter. These formulas are analogous to monotonicity formulas used in geometric variational problems such as for minimal surfaces and harmonic maps.
No video available