Seminar talk : Inverse problem for discretized heat equation

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Venue:SIPA 103

Julian Edward, SIPA 103, 3.30 pm Title: Inverse problem for discretized heat equation

Abstract: Consider the system $u_t-u_{xx}+qu =0$, for t>0, x>0 u(x,0)=0, u(0,t)=f(t).$ We consider the following inverse problem. Suppose q is unknown, but we have complete knowledge of the response operator $R$ given by $Rf(t)=u_x(0,t)$. Can we use our knowledge of $R$ to determine q? We study a discretized version of this problem, using the Boundary Control Method.