Date | Aug 12, 2019 |
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Speaker | Wang, Chengbo |

Dept. | Zhejiang University |

Room | 27-116 |

Time | 16:00-17:00 |

We provide a simple and geometric proof of small data global existence of the shifted wave equation on hyperbolic space involving nonlinearities of the form $pm |u| ^p $ or $pm |u|^{p-1}u$. It is based on the weighted Strichartz estimates of Georgiev-Lindblad-Sogge(or Tataru) on Euclidean space. We also prove a small data existence theorem for variably curved backgrounds which extends earlier ones for the constant curvature case of Anker-Pierfelice and Metcalfe Taylor. It is based on the joint work with Yannick Sire and Chris Sogge.

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