Reconstruction of singularities from full scattering data by new estimates of bilinear Fourier multipliers
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Publication:845754
DOI10.1007/s00208-009-0398-5zbMath1187.42002OpenAlexW2086700817MaRDI QIDQ845754
Daniel Faraco, Juan Antonio Barceló, Alberto Ruiz, Ana M. Vargas
Publication date: 29 January 2010
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00208-009-0398-5
Multipliers for harmonic analysis in several variables (42B15) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
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The PML method to solve a class of potential scattering problem with tapered wave incidence ⋮ The bilinear Bochner-Riesz problem ⋮ Recovery of the singularities of a potential from backscattering data in general dimension ⋮ Numerical approximation of the potential in the two-dimesional inverse scattering problem ⋮ Improved bound for the bilinear Bochner-Riesz operator ⋮ The double dispersion operator in backscattering: Hölder estimates and optimal Sobolev estimates for radial potentials ⋮ A New Convergent Algorithm to Approximate Potentials from Fixed Angle Scattering Data ⋮ Fixed Angle Scattering: Recovery of Singularities and Its Limitations
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