| dc.creator | Xie , Shishen | |
| dc.date | 2011 -02 -18T22 :43 :22Z | |
| dc.date | 2012 -06 -01T14 :25 :51Z | |
| dc.date | 2011 -02 -18T22 :43 :22Z | |
| dc.date | 2012 -06 -01T14 :25 :51Z | |
| dc.date | 2011 -02 -18T22 :43 :22Z | |
| dc.date | 1987 -01 -01 | |
| dc.date.accessioned | 2012 -11 -29T19 :44 :58Z | |
| dc.date.available | 2012 -11 -29T19 :44 :58Z | |
| dc.date.issued | 2012 -11 -29 | |
| dc.identifier | http : / /hdl .handle .net /2346 /18740 | |
| dc.identifier.uri | http : / /hdl .handle .net /2346 /18740 | |
| dc.description | 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 . | |
| dc.language | en _US | |
| dc.publisher | Texas Tech University | |
| dc.rights | unrestricted | |
| dc.subject | Laplace transformation | |
| dc.subject | Theory of distributions | |
| dc.subject | Fourier series | |
| dc.title | Observability of Laplace equation on the circle | |
| dc.type | Electronic Thesis |
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