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Local stability of traveling-wave solutions of nonlinear reaction-diffusion equations

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  • We investigate the local stability of traveling-wave solutions of the nonlinear reaction-diffusion equations in various weighted Banach spaces. New methods are used in analyzing the location of the spectrum. The result covers the stability results of the traveling-wave solutions of reaction-diffusion equations including the well known Fisher-KPP-type nonlinearity.
    Mathematics Subject Classification: Primary: 35B35; Secondary: 35K57, 35B40, 35P15.


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