Continuous in time bubble decomposition for the harmonic map heat flow

Autor:	Jendrej, Jacek, Lawrie, Andrew, Schlag, Wilhelm
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	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. Comment: 36 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2304.05927 Zobrazit plný text záznamu View this record from Arxiv