Year: 2020
Author: Shaohua Gan, Zhixian Yu
Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 2 : pp. 205–226
Abstract
The paper is concerned with the asymptotic behavior as $t → ±∞$ of an entire solution $u(x, t)$ for the nonlocal diffusion equation. With bistable assumption, it is well known that the model has three different types of traveling fronts. Under certain conditions on the wave speeds, and by some auxiliary rational functions with certain properties to construct appropriate super- and sub- solutions of the model, we establish two new types of entire solutions $u(x, t)$ which approach to three travelling fronts or the positive equilibrium as $t → ±∞$.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2020.205
Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 2 : pp. 205–226
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Entire solution Traveling front Nonlocal evolution equation Super-sub solutions.