Inverse scattering problem for a two dimensional random potential
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Publication:926253
DOI10.1007/s00220-008-0416-6zbMath1203.35292OpenAlexW2067107552WikidataQ109553827 ScholiaQ109553827MaRDI QIDQ926253
Eero Saksman, Lassi Päivärinta, Matti Lassas
Publication date: 27 May 2008
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00220-008-0416-6
Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Inverse scattering problems in quantum theory (81U40) Schrödinger operator, Schrödinger equation (35J10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27)
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Cites Work
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- A global uniqueness theorem for an inverse boundary value problem
- Inverse backscattering in two dimensions
- The inverse backscattering problem in three dimensions
- Absence of diffusion in the Anderson tight binding model for large disorder or low energy
- Unique continuation and absence of positive eigenvalues for Schrödinger operators. (With an appendix by E. M. Stein)
- Localization in general one dimensional random systems. I: Jacobi matrices
- Localization in general one-dimensional random systems. II: Continuum Schrödinger operators
- Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators
- An \(n\)-dimensional Borg-Levinson theorem
- Reconstructions from boundary measurements
- Inverse boundary value problems for partial differential equations
- Spectral properties of disordered systems in the one-body approximation
- A functional limit theorem for waves reflected by a random medium
- Complex geometrical optics solutions for Lipschitz conductivities.
- Schrödinger operators with singular potentials from the space of multiplicators
- An \(n\)-dimensional Borg--Levinson theorem for singular potentials
- Wegner estimates and localization for Gaussian random potentials
- Global uniqueness for a two-dimensional inverse boundary value problem
- A periodic Faddeev-type solution operator
- Injectivity sets for the Radon transform over circles and complete systems of radial functions
- On localization in the continuous Anderson-Bernoulli model in higher dimension
- Calderón's inverse conductivity problem in the plane
- Carleman estimates and unique continuation for second-order elliptic equations with nonsmooth coefficients
- RECOVERING SINGULARITIES FROM BACKSCATTERING IN TWO DIMENSIONS
- Réctification à l'article "Une caractérisation abstraite des opérateurs différentiels"
- Singular continuous spectrum under rank one perturbations and localization for random hamiltonians
- Frequency Content of Randomly Scattered Signals
- Generic Uniqueness for Two Inverse Problems in POtential Scattering
- Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions
- The Calderón problem for conormal potentials I: Global uniqueness and reconstruction
- Radiative transport limit for the random Schrödinger equation
- Linear inverse problems for generalised random variables
- Imaging and time reversal in random media
- Spectral localization by Gaussian random potentials in multi-dimensional continuous space.
