Fifth Mississippi State Conference on Differential Equations and Computational Simulations,
Electron. J. Diff. Eqns., Conf. 10, 2003, pp. 109-113.

Uniform stability of multidimensional travelling waves for the nonlocal Allen-Cahn equation

Fengxin Chen

Abstract:
In this paper, we study the uniform stability of mutidimensional planar travelling waves for the nonlocal Allen-Cahn equation.

Published February 28, 2003.
Subject classifications: 35K55, 35Q99.
Key words: nonlocal phase transition, travelling waves, continuation.

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Fengxin Chen
Division of Mathematics and Statistics
University of Texas at San Antonio
San Antonio, TX 78249, USA
e-mail: feng@sphere.math.utsa.edu
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