The calder´
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In this paper we improve an earlier result by Bukhgeim and Uhlmann [1], by showing that in dimension n ≥ 3, the knowledge of the Cauchy data for the Schr¨dinger equation measured on possibly very small subsets of the o boundary determines uniquely the potential. We follow the general strategy of [1] but use a richer set of solutions to the Dirichlet problem. This implies a similar result for the problem of Electrical Impedance Tomography which consists in determining the conductivity of a body by making voltage and current measurements at the boundary. ...
26p 
noel_noel
17-01-2013
51
8
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We show that the Dirichlet to Neumann map for the equation ∇·σ∇u = 0 in a two-dimensional domain uniquely determines the bounded measurable conductivity σ. This gives a positive answer to a question of A. P. Calder´n o from 1980. Earlier the result has been shown only for conductivities that are sufficiently smooth. In higher dimensions the problem remains open. Contents Introduction and outline of the method
36p noel_noel
17-01-2013
73
7
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Dự toán thiết bị đầu cuối trọng cho số ít các nhà khai thác multilinear thể tách rời với hạt nhân Calder'n Zygmund biến trên một số Hardy và Hardy loại Herz không gian o thu được.
11p phalinh21
01-09-2011
63
4
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