Non UBC
DSpace
Musso, Monica
2016-03-11T06:02:15Z
2015-09-01T11:00
We construct global unbounded solutions for the critical nonlinear heat equation on a bounded smooth domain satisfying zero Dirichlet boundary conditions. Given an integer k, and given any set of k distinct points of the domain, which satisfy a certain condition involving Green’s function of the domain, we find a positive solution for the critical heat equation blowing up at exactly those k points as time goes to infinity.
This work is in collaboration with C. Cortazar and M. del Pino.
https://circle.library.ubc.ca/rest/handle/2429/57139?expand=metadata
60 minutes
video/mp4
Author affiliation: Universidad Católica de Chile
Banff (Alta.)
10.14288/1.0228562
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Faculty
BIRS Workshop Lecture Videos (Banff, Alta)
Mathematics
Partial differential equations
Calculus of variations and optimal control; optimization
Infinite time bubbling in the critical heat equation: the role of Green’s Function
Moving Image
http://hdl.handle.net/2429/57139