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Stable subharmonic solutions of reaction-diffusion equations on an arbitrary domain

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  • The paper is concerned with stable subharmonic solutions of timeperiodic spatially inhomogeneous reaction-diffusion equations. We show that such solutions exist on any spatial domain, provided the nonlinearity is chosen suitably. This contrasts with our previous results on spatially homogeneous equations that admit stable subharmonic solutions on some, but not on arbitrary domains.
    Mathematics Subject Classification: 35K57, 35B10, 35B40.


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