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Inverse scattering problem for two-dimensional Schrödinger operator
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V. Serov
Veröffentlicht/Copyright:
2006
This work deals with the inverse scattering problem for two-dimensional Schrödinger operator. The following problem is studied: To estimate more accurately first nonlinear term from the Born series which corresponds to the scattering data with all energies and all angles in the scattering amplitude. This estimate allows us to conclude that the singularities and the jumps of the unknown potential can be obtained exactly by the Born approximation. Especially, for the potentials from Lp-spaces the approximation agrees with the true potential up to the continuous function.
Published Online: --
Published in Print: 2006-05-01
Copyright 2006, Walter de Gruyter
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Artikel in diesem Heft
- Inversion of the Radon transform, based on the theory of A-analytic functions, with application to 3D inverse kinematic problem with local data
- An identification problem arising in the theory of heat conduction for materials with memory
- On the choice of the regularization parameter in ill-posed problems with approximately given noise level of data
- An iterative method for reconstruction of temperature
- Boundary data identification for a eddy-current problem on polyhedra: numerical approach
- Inverse scattering problem for two-dimensional Schrödinger operator
- Motion estimation by hybrid diffusion: theory and implementation
