Observability of Laplace equation on the circle

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dc.degree.department Accounting and Information Systems en_US
dc.degree.discipline Accounting and Information Systems en_US
dc.degree.grantor Texas Tech University en_US
dc.degree.level Masters en_US
dc.degree.name M .S . en_US
dc.rights.availability unrestricted en_US
dc.creator Xie , Shishen en_US
dc.date.accessioned 2014 -02 -19T18 :32 :03Z
dc.date.available 2011 -02 -18T22 :43 :22Z en_US
dc.date.available 2014 -02 -19T18 :32 :03Z
dc.date.issued 1987 -05 en_US
dc.identifier.uri http : / /hdl .handle .net /2346 /18740 en_US
dc.description.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 . en_US
dc.language.iso en _US en_US
dc.publisher Texas Tech University en_US
dc.subject Laplace transformation en_US
dc.subject Theory of distributions en_US
dc.subject Fourier series en_US
dc.title Observability of Laplace equation on the circle en_US
dc.type Electronic Thesis en_US

Citation

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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