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 （2018.4.23）Prof. Yavar Kian：Around the Calderón problem in a waveguide
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 Update time： 2018-04-20
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 Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
 Speaker: Prof. Yavar Kian, Assistant Professor at the University of Aix-Marseille, France Inviter: 刘晓东 Title: Around the Calderón problem in a waveguide Time & Venue: 2018.4.23 11:00-12:00 N613 Abstract: Let $\Omega$ be an unbounded domain of $\mathbb R^3$ associated with a closed waveguide in the sense that there exists $\omega$ a bounded domain of $\mathbb R^2$ such that $\Omega\subset\omega\times\mathbb R$. In this talk, we will consider the inverse problem of determining the magnetic field associated with the magnetic potential $A\in L^\infty(\Omega)^3$ and the electric potential $q\in L^\infty(\Omega;\mathbb C)$ appearing in the magnetic Schr?inger equation $\Delta_Au+qu=0$ on $\Omega$, where $\Delta_A$ denotes the magnetic Laplacian defined by $\Delta_A= \Delta+2iA(x)\cdot\nabla +i\textrm{div}_x(A)-|A|^2$, from some data equivalent to observations of solutions on some parts of the boundary $\partial\Omega$. 报 告 人简介：Prof. Yavar Kian received his PhD degree in Applied Mathematics from the University of Bordeaux, France, in 2010. He is currently an Assistant Professor at the University of Aix-Marseille, France. He joined the University of Aix-Marseille on 2011. His current research interests include: inverse problems for different PDEs (parabolic, hyperbolic, Schr?dinger and elliptic equations), inverse spectral problems, inverse problems on manifolds, inverse and direct problems for fractional diffusion equations.