Abstract
The existence, uniqueness, and global exponential stability of traveling wave solutions of a class of nonlinear and nonlocal evolution equations are established. It is assumed that there are two stable equilibria so that a traveling wave is a solution that connects them. A basic assumption is the comparison principle: a smaller initial value produces a smaller solution. When applied to di↵erential equations or integro-di↵erential equations, the result recovers and/or complements a number of existing ones.
Citation
Xinfu Chen. "Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations." Adv. Differential Equations 2 (1) 125 - 160, 1997. https://doi.org/10.57262/ade/1366809230
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