Geodesic
Global stability of travelling wave fronts for non-local diffusion equations with delay
Izvestiya. Mathematics , Tome 78 (2014) no. 2, pp. 251-267.

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This paper is concerned with the global stability of travelling wave fronts for non-local diffusion equations with delay. We prove that the non-critical travelling wave fronts are globally exponentially stable under perturbations in some exponentially weighted $L^\infty$-spaces. Moreover, we obtain the decay rates of $\sup_{x\in\mathbb{R}}|u(x,t)-\varphi(x+ct)|$ using weighted energy estimates.
Keywords: stability, delay, travelling wave fronts, weighted energy estimate.
Mots-clés : non-local reaction-diffusion equations 
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X. Wang; G. Lv. Global stability of travelling wave fronts for non-local diffusion equations with delay. Izvestiya. Mathematics , Tome 78 (2014) no. 2, pp. 251-267. http://geodesic.mathdoc.fr/item/IM2_2014_78_2_a1/

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