Remarks on the Born approximation and the Factorization Method
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Publication:2965788
DOI10.1080/00036811.2016.1188286zbMath1364.35222OpenAlexW2396178972WikidataQ58244953 ScholiaQ58244953MaRDI QIDQ2965788
Publication date: 3 March 2017
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2016.1188286
Scattering theory for PDEs (35P25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items (7)
Reconstructing a space-dependent source term via the quasi-reversibility method ⋮ The factorization method and Capon’s method for random source identification in experimental aeroacoustics ⋮ Looking Back on Inverse Scattering Theory ⋮ Inverse medium scattering problems with Kalman filter techniques ⋮ Data-Driven Basis for Reconstructing the Contrast in Inverse Scattering: Picard Criterion, Regularity, Regularization, and Stability ⋮ On the distribution of Born transmission eigenvalues in the complex plane ⋮ Monotonicity in Inverse Medium Scattering on Unbounded Domains
Cites Work
- New mapping properties for the resolvent of the Laplacian and recovery of singularities of a multi-dimensional scattering potential
- Convergence and stability of the inverse scattering series for diffuse waves
- Finite Element Methods for Maxwell's Equations
- Inverse Born approximation for the nonlinear two-dimensional Schrödinger operator
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