Uniqueness theorems for inverse obstacle scattering in Lipschitz domains
Ramm, A. G.
arXiv, 0001015 / Harvested from arXiv
Text on arXiv
An inverse problem of finding an obstacle and the boundary condition on its surface from the fixed-energy scattering data is studied. A new method is developed for a proof of the uniqueness results. The method does not use the discreteness of the spectrum of the corresponding Laplacian in a bounded domain. Proof of the uniqueness results is based on the fact that the Hilbert space of square integrable functions is separable.
Publié le : 2000-01-06
Classification:  Mathematical Physics,  Mathematics - Analysis of PDEs,  35R30, 73D50 
@article{0001015,
     author = {Ramm, A. G.},
     title = {Uniqueness theorems for inverse obstacle scattering in Lipschitz domains},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0001015}
}

Ramm, A. G. Uniqueness theorems for inverse obstacle scattering in Lipschitz domains. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0001015/