Observability of Laplace's equation on the cylindrical domain

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Title: Observability of Laplace's equation on the cylindrical domain
Author: Xie, Shishen
Abstract: The problem of observability of a dynamical system that is governed by a partial differential equation is considered . The aim of this paper is to formulate the problem under the assumption of an idealized geometry ; coaxial cylinder representing the human torso and cardiac surface . An analytical solution in the form of generalized Fourier series is obtained under this assumption . Finally , the reconstruction of the solution of Laplace's equation from discrete measurements on the boundary is discussed and a numerical algorithm is developed to treat this ill -posed problem . This problem arises in the determination of the electropotential of the epicardial surface from discrete measurements on the torso .
URI: http : / /hdl .handle .net /2346 /18981
Date: 1990-05

Citation

Observability of Laplace's equation on the cylindrical domain. Doctoral dissertation, Texas Tech University. Available electronically from http : / /hdl .handle .net /2346 /18981 .

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