Research output: Contribution to journal › Article

Journal | Proceedings of the American Mathematical Society |
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Date | Published - 1 Jan 2015 |

Issue number | 11 |

Volume | 143 |

Number of pages | 6 |

Pages (from-to) | 4967-4972 |

Original language | English |

We obtain an estimate for the L<sup>p</sup> norm of the gradient of the heat semi-group in terms of the L<sup>p</sup> norm of the gradient. Our estimates are uniform for small times and p ∈ [1,∞]. The bounds only require some basic smoothness assumptions on the vector fields defining the diffusion underlying the problem.

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