Title	New multiple end solutions in the Allen-Cahn and the generalized second PainlevÃ Â¨ equation.
Creator	Kowalczyk, Michal
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-05-07T14:02
Description	In this talk I will discuss two new constructions of the multiple end solutions. In the case of the Allen-Cahn equation the ends are asymptotic to the Simons cone in $\mathbb R^8$. The case of the generalized second Painlev\'e equation in $\mathbb R^2$ is somehow different since there is no apparent underlying geometric problem. Yet we can interpret the behavior of the solution as being asymptotic along the axis to: two one dimensional Hastings-McLeod solution, the heteroclinic solution of the Allen-Cahn equation and the trivial solution.
Extent	30.0 minutes
Subject	Mathematics; Partial differential equations; Differential geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Universidad de Chile
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-11-04
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0384910
URI	http://hdl.handle.net/2429/72176
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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