An Energy Reducing Flow for Multiple-Valued Functions

Abstract

By the method of discrete Morse flows, we construct an energy reducing multiple-valued function flow. The flow we get is Holder continuous with respect to the L-2 norm. We also give another way of constructing flows in some special cases, where the flow we get behaves like ordinary heat flow.

29 pages

References in corpus (1)

• A regularity theory for multiple-valued Dirichlet minimizing maps

Cited by in corpus (1)

• A regularity theory for multiple-valued Dirichlet minimizing maps