Date | 2023-11-07 |
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Speaker | Luz Roncal |

Dept. | Basque Center for Applied Mathematics - BCAM, Spain |

Room | 27-116 |

Time | 16:00-17:00 |

In this talk we show uniform resolvent estimates in weighted $L^2$-spaces for radial solutions of the inhomogeneous Helmholtz equation for the sublaplacian in the Heisenberg group. The approach is based on a multiplier method with appropriate weights (a generalisation of those of Morawetz for the Klein--Gordon equation) and Hardy inequalities in the Heisenberg group.

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