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Asymptotical behaviour of a class of semilinear diffusion equations

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Abstract.

We improve the existing results of the long time asymptotical behaviour of some basic semilinear diffusion equations (with space variable in the whole space \(\mathbb{R}\)). Our method is elementary: it is based on explicit calculations, weighted sup–norm estimates and a fixed point argument.

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  1. Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, FIN–00014, Helsinki, Finland

    Jari Taskinen

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  1. Jari Taskinen
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Correspondence to Jari Taskinen.

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Taskinen, J. Asymptotical behaviour of a class of semilinear diffusion equations. J. evol. equ. 7, 429–447 (2007). https://doi.org/10.1007/s00028-007-0290-2

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  • DOI: https://doi.org/10.1007/s00028-007-0290-2

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