Abstract
We examine the harmonic map heat flow problem for maps between the three-dimensional ball and the two-sphere. We give blow-up results for certain initial data. We establish convergence results for suitable axially symmetric initial data, and discuss generalizations to higher dimensions.
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Grotowski, J.F. Harmonic map heat flow for axially symmetric data. Manuscripta Math 73, 207–228 (1991). https://doi.org/10.1007/BF02567639
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DOI: https://doi.org/10.1007/BF02567639