Seminar on PDE

Speaker: | Catalin Carstea (National Yang Ming Chiao Tung University) |

Title: | An inverse problem for the porous medium equation |

Time: | 2023-06-06 (Tue.) 11:00 - 12:00 |

Place: | Seminar Room 617, Institute of Mathematics (NTU Campus) |

Abstract: | The porous medium equation is a degenerate parabolic type quasilinear equation that models, for example, the flow of a gas through a porous medium. In this talk I will present recent results on uniqueness in the inverse boundary value problem for this equation. Inverse boundary value problems are the problems of reconstructing the unknown coefficients of a partial differential equation from the knowledge of the set of all possible Cauchy data on the boundary. The talk is based on work with T. Ghosh & G. Nakamura and T. Ghosh & G. Uhlmann. |

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