THE JACOBI-TODA SYSTEM AND FOLIATED INTERFACES
Pino_Manuel_del.pdf (396.7Kb)Abstract
Let (M, ˜g) be an N-dimensional smooth (compact or noncompact)
Riemannian manifold. We introduce the elliptic Jacobi-Toda system on (M, ˜g).
We review various recent results on its role in the construction of solutions with
multiple interfaces of the Allen-Cahn equation on compact manifolds and entire
space, as well as multiple-front traveling waves for its parabolic counterpart.
Patrocinador
This work has been supported by research grants Fondecyt
1070389, 1090103, Fondo Basal CMM, Anillo ACT 125 and an Earmarked Grant
from RGC of Hong Kong and Focused Research Scheme of CUHK of Hong Kong.
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DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS Volume 28, Number 3, November 2010
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