## Abstract

Motivated by the harmonic map heat flow, we consider maps between Riemannian manifolds such that the tension field belongs to an L^{p}-space. Under an appropriate smallness condition, a certain degree of regularity follows. For suitable solutions of the harmonic map heat flow, we have a partial regularity result as a consequence.

Original language | English |
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Pages (from-to) | 1-30 |

Number of pages | 30 |

Journal | Transactions of the American Mathematical Society |

Volume | 367 |

Issue number | 1 |

Early online date | 20 May 2014 |

DOIs | |

Publication status | Published - 1 Jan 2015 |

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