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ABSTRACT This paper is mainly concerned with the stability of the equilibria of the Allen–Cahn equation where the standard Laplacian diffusion is replaced by the fractional Laplacian diffusion. We shall… Click to show full abstract
ABSTRACT This paper is mainly concerned with the stability of the equilibria of the Allen–Cahn equation where the standard Laplacian diffusion is replaced by the fractional Laplacian diffusion. We shall show that the state is stable with respect to some perturbations which are not too large on a set, but is unstable with respect to some perturbations with bounded support set. We use the comparison principle to obtain the results.
Keywords:
diffusion;
cahn equation;
stability equilibria;
equilibria allen;
allen cahn
Journal Title: Applicable Analysis
Year Published: 2019
Link to full text (if available)
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Journal Title: Applicable Analysis
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!