![[Search]](/static/images/search.gif){kind=small}
![[A-Z Index]](/static/images/az.gif){kind=small}
![[Contact]](/static/images/contact.gif){kind=small}
![[University of Cambridge]](/static/images/identifier2.gif){kind=small}
![[Talks.cam]](/static/images/talkslogosmall.gif)
Monday 16 January 2012, 16:00-17:00
The regularity and existence of branched minimal submanifolds
- 👤 Speaker: Brian Krummel (DPMMS)
- 📅 Date & Time: Monday 16 January 2012, 16:00 - 17:00
- 📍 Venue: CMS, MR14
Abstract
Multivalued functions arise naturally in the study of the branch set of branched minimal immersions. Simon and Wickramasekera (2007) showed how to construct a large class of multivalued solutions in C1,μ to the Dirichlet problem for the minimal surface equation provided the boundary data satisfied a k-fold symmetry condition. I will show that the branch sets of the minimal hypersurfaces they constructed are real analytic submanifolds, which involves proving a general regularity result for multivalued solutions to elliptic equations. I also extend their existence result, which was specific to the minimal surface equation, to show that there exists multivalued solutions in C1,μ to other elliptic equations and to elliptic systems that preserve the k-fold symmetry condition.
Series This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.
Included in Lists
- All CMS events
- All Talks (aka the CURE list)
- bld31
- CMS Events
- CMS, MR14
- DPMMS info aggregator
- DPMMS lists
- DPMMS Lists
- DPMMS Pure Maths Seminar
- Fav
- Geometric Analysis & Partial Differential Equations seminar
- Hanchen DaDaDash
- Interested Talks
- My seminars
- School of Physical Sciences
Note: Ex-directory lists are not shown.