微分方程式セミナー


2017/7/21(Fri)

16:30--18:00 数学教室 大セミナー室(E301)

三浦英之

東京工業大学情報理工学研究科

On uniqueness for the supercritical harmonic map heat flow

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.