Title: Morse Index Stability of Willmore Immersions I A… 继续阅读Morse Index Stability of Willmore Immersions I
标签： harmonic maps
调和映射的Pohozaev恒等式
$\newcommand{\div}{\mathrm{div}\,}$ 我们知道调和映射的方程为 $$ \De… 继续阅读调和映射的Pohozaev恒等式
Sharp quantitative rigidity results for maps from $S^2$ to $S^2$ of general degree
Title: Sharp quantitative rigidity results for maps fro… 继续阅读Sharp quantitative rigidity results for maps from $S^2$ to $S^2$ of general degree
Continuous in time bubble decomposition for the harmonic map heat flow
Jacek Jendrej, Andrew Lawrie, Wilhelm Schlag
We consider the harmonic map heat flow for maps from the plane to the two-sphere. It is known that solutions to the initial value problem exhibit bubbling along a well-chosen sequence of times. We prove that every sequence of times admits a subsequence along which bubbling occurs. This is deduced as a corollary of our main theorem, which shows that the solution approaches the family of multi-bubble configurations in continuous time.