An Energy Reducing Flow for Multiple-Valued Functions

Details An Energy Reducing Flow for Multiple-Valued Functions An Energy Reducing Flow for Multiple-Valued Functions

2006-06-20

arxiv.org/abs/math/0606478v1

Mathematics

Analysis of PDEs

29 pages

Scientific paper

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.

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