Define the periodic weighted operator Ty=&\ &2 ( \ 2 y$)$ in L 2 (R, \(x) 2 dx). Suppose a function \ # W 2 1 (RΓZ) is 1-periodic real positive, \(0)=1, and let q=\$Γ\ # L 2 (0, 1). The spectrum of T consists of intervals , n 1, be the Dirichlet eigenvalue of the equation & y"&2qy$=z 2 y, y(0)=y(1)
The inverse problem for periodic potentials
β Scribed by E. Trubowitz
- Publisher
- John Wiley and Sons
- Year
- 1977
- Tongue
- English
- Weight
- 482 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0010-3640
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Communicated by R
The paper deals with the inverse source problems for the Newtonian potential in the sense of distribution (generalized functions). The inverse source problem is defined as follows: A domain G is given. To find is a distribution creating the potential which is known outside of the closed domain G. Ne
## Abstract We consider the inverse problem of recovering a 2D periodic structure from scattered waves measured above and below the structure. We discuss convergence and implementation of an optimization method for solving the inverse TE transmission problem, following an approach first developed b