Existence and construction of solutions of dissipative inverse problems
DOI10.1016/0022-247X(91)90105-9zbMath0744.65092MaRDI QIDQ1177015
Robert J. Krueger, Ronald C. Winther, Gerhard Kristensson
Publication date: 25 June 1992
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
algorithmconductivitypermittivityelectromagnetic wave propagationinverse scattering problemreconstruction process
PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Diffraction, scattering (78A45) Applications to the sciences (65Z05) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)
Cites Work
- A Banach space ODE framework for inverse scattering via invariant imbedding
- On an inverse problem in a medium with absorption
- Direct and inverse scattering in the time domain for a dissipative wave equation. I. Scattering operators
- Direct and inverse scattering in the time domain for a dissipative wave equation. II. Simultaneous reconstruction of dissipation and phase velocity profiles
- Factorization of the dissipative wave equation and inverse scattering
- Direct and inverse scattering in the time domain for a dissipative wave equation. Part IV: Use of phase velocity mismatches to simplify inversions
- Direct and inverse scattering in the time domain for a dissipative wave equation. III. Scattering operators in the presence of a phase velocity mismatch
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