Stability in diffraction tomography and a nonlinear ``basic theorem

DOI10.1007/BF02788790zbMath1078.78008OpenAlexW2040568131MaRDI QIDQ1880933

Victor P. Palamodov

Publication date: 27 September 2004

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02788790

zbMATH Keywords

inverse problemsHelmholtz equationtomography

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Fundamental solutions of the acoustic and diffusion equations in nonhomogeneous medium ⋮ Increased Stability in the Cauchy Problem for Some Elliptic Equations ⋮ Reflectors in wave equation imaging ⋮ Inverse scattering as nonlinear tomography ⋮ The \(\bar{\partial}\)-approach to monochromatic inverse scattering in three dimensions ⋮ Mathematics of Electron Tomography ⋮ Sonic Imaging ⋮ Increasing stability for determining the potential in the Schrödinger equation with attenuation from the Dirichlet-to-Neumann map ⋮ Increasing stability for the inverse problem of the Schrödinger equation with the partial Cauchy data

Cites Work

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