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DATE | 2020-10-29 15:10-16:00 |

PLACE | 數學館3174教室 |

SPEAKER | 林奕亘 助理教授（交通大學數學系） |

TITLE | Monotonicity-Based Inversion of the Fractional Schrödinger Equation |

ABSTRACT |
We consider an inverse problem for the fractional Schrödinger equation by using monotonicity formulas. We provide if-and-only-if monotonicity relations between positive bounded potentials and their associated nonlocal Dirichlet-to-Neumann maps. Based on the monotonicity relation, we can prove uniqueness for the nonlocal Calderón problem in a constructive manner.
Secondly, we offer a reconstruction method for an unknown obstacles in a given domain. Our method is independent of the dimension and only requires the background solution of the fractional Schrödinger equation.
學者簡介 |