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Existence of the self-similar solutions in the heat flow of harmonic maps

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Abstract

It is proved that the heat equations of harmonic maps have self-similar solutions satisfying certain energy condition.

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Authors and Affiliations

  1. Institute of Mathematics, Peking University, 100871, Beijing, China

    Huijun Fan

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  1. Huijun Fan
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Fan, H. Existence of the self-similar solutions in the heat flow of harmonic maps. Sci. China Ser. A-Math. 42, 113–132 (1999). https://doi.org/10.1007/BF02876563

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  • DOI: https://doi.org/10.1007/BF02876563

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