MULTIDIMENSIONAL STABILITY OF PLANAR TRAVELING WAVES FOR AN INTEGRODIFFERENCE MODEL

作者:Miller Judith R*; Zeng Huihui
来源:Discrete and Continuous Dynamical Systems-Series B, 2013, 18(3): 741-751.
DOI:10.3934/dcdsb.2013.18.741

摘要

This paper studies the multidimensional stability of planar traveling waves for integrodifference equations. It is proved that for a Gaussian dispersal kernel, if the traveling wave is exponentially orbitally stable in one space dimension, then the corresponding planar wave is stable in H-m(R-N), N %26gt;= 4, m %26gt;= [N/2] + 1, with the perturbation decaying at algebraic rate.