Observability of Laplace equation on the circle

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Title: Observability of Laplace equation on the circle
Author: Xie, Shishen
Abstract: In this thesis , the problem of discrete observability of the Laplace equation is studied . It turns out that the solution of this problem can be uniquely determined by the measured values at certain dense set on the boundary . For the purpose of practical application , two methods are investigated . The first method , by means of distribution , shows that in any compact set inside the unit disk the real solution can be successfully approximated by the interpolation polynomials . The second method is simply solving a system of linear equations , while the speed of its convergence still remains unknown .
URI: http : / /hdl .handle .net /2346 /18740
Date: 1987-05


Observability of Laplace equation on the circle. Master's thesis, Texas Tech University. Available electronically from http : / /hdl .handle .net /2346 /18740 .

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