Spectral analysis and multidimensional stability of traveling waves for nonlocal Allen–Cahn equation

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• 作者：Bates ; Peter W. ; Chen ; Fengxin
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2002
• 出版时间：September 1, 2002
• 年：2002
• 卷：273
• 期：1
• 页码：45-57
• 全文大小：129 K

文摘

In this paper, the spectrum of linearized operator about a traveling wave for the nonlocal Allen–Cahn equation is estimated and the result is applied to study multidimensional stability of planar waves.