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Curvature Estimates for Finite Morse Index Solutions and Applications

2018-12-13 00:00

Speaker: Juncheng Wei

unit:

Time: 2018-05-16 15:30-16:30

Venue: Room 108, Center for Applied Mathematics

starttime: 2018-05-16 15:30-16:30

Profile:

Theme：: Curvature Estimates for Finite Morse Index Solutions and Applications

Time：: 2018-05-16 15:30-16:30

Venue：: Room 108, Center for Applied Mathematics

Speaker：: Juncheng Wei

Abstract

I will present several recent results on curvature estimates of stable or finite Morse index solutions to Allen-Cahn equation. As applications, we show that in R^2 finite Morse index solutions are finite ended; and in $R^n, n \leq 10$ stable solutions have multiplicity one. (Joint work with Kelei Wang.)

Seminars_raw

Seminars_raw

Curvature Estimates for Finite Morse Index Solutions and Applications

Abstract