Back to Search
Start Over
MULTIPLE-LAYER SOLUTIONS TO THE ALLEN-CAHN EQUATION ON HYPERBOLIC SPACE.
- Source :
-
Proceedings of the American Mathematical Society . Aug2014, Vol. 142 Issue 8, p2859-2869. 11p. - Publication Year :
- 2014
-
Abstract
- In this paper we study the existence of multiple-layer solutions to the elliptic Allen-Cahn equation in hyperbolic space: ... here F is a nonnegative double-well potential with nondegenerate minima. We prove that for any collection of widely separated, nonintersecting hyperplanes in Hn, there is a solution to this equation which has a nodal set very close to this collection of hyperplanes. Unlike the corresponding problem in Rn, there are no constraints beyond the separation parameter. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HYPERBOLIC spaces
*HYPERPLANES
*EQUATIONS
*HYPERSURFACES
*MATHEMATICAL variables
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 142
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 96190447
- Full Text :
- https://doi.org/10.1090/S0002-9939-2014-11986-1