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Stability of planar waves in the buffered bistable system
Authors:Guangying Lv
Institution:College of Mathematics and Information Science, Henan University, , Kaifeng, 475001 China
Abstract:This paper is concerned with the asymptotic stability of planar waves in the buffered bistable system on urn:x-wiley:01704214:media:mma2522:mma2522-math-0001, where n ≥ 2. Under initial perturbation that decays at space infinity, the perturbed solution converges to planar waves as t → ∞ . The convergence is uniform in urn:x-wiley:01704214:media:mma2522:mma2522-math-0002. Copyright © 2012 John Wiley & Sons, Ltd.
Keywords:traveling wave fronts  stability  sup‐sub solution  bistable
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