Institute of Mathematics for Industry


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On uniqueness for the supercritical harmonic map heat flow

Hold Date 2017-05-19 15:30~2017-05-19 17:00

Place 2nd floor room D, Seminar House, Fukuoka University

Object person  

Speaker Hideyuki MIURA (Tokyo Institute of Technology)

We examine the question of uniqueness for the equivariant reduction of the harmonic map heat flow in the energy supercritical dimension. It is shown that, generically, singular data can give rise to two distinct solutions which are both stable, and satisfy the local energy inequality. We also discuss how uniqueness can be retrieved. This is a joint work with Pierre Germain and Tej-Eddine Ghoul.