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The Dirichlet problem on a strip for the α-translating soliton equation.

Authors :
López, Rafael
Source :
Comptes Rendus. Mathématique. Nov2018, Vol. 356 Issue 11/12, p1179-1187. 9p.
Publication Year :
2018

Abstract

Abstract In this paper, we investigate the Dirichlet problem associated with the α -translating equation. Using the Perron method and a family of grim reapers as barriers, we prove the existence of a solution on a strip of R 2 and the boundary data is formed by two copies of a convex function. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*DIRICHLET problem
*SOLITONS
*CONVEX functions
*BOUNDARY value problems
*EQUATIONS

Details

Language :
English
ISSN :
1631073X
Volume :
356
Issue :
11/12
Database :
Academic Search Index
Journal :
Comptes Rendus. Mathématique
Publication Type :
Academic Journal
Accession number :
133237999
Full Text :
https://doi.org/10.1016/j.crma.2018.10.005
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