The double dispersion operator in backscattering: Hölder estimates and optimal Sobolev estimates for radial potentials
From MaRDI portal
Publication:2031510
DOI10.4171/RMI/1223zbMath1465.35408arXiv1807.08961OpenAlexW3111637073MaRDI QIDQ2031510
Publication date: 9 June 2021
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.08961
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Inverse scattering problems in quantum theory (81U40) Schrödinger operator, Schrödinger equation (35J10)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- The back-scattering problem in three dimensions
- Reconstruction of the singularities of a potential from backscattering data in 2D and 3D
- The quadratic contribution to the backscattering transform in the rotation invariant case
- Microlocal analysis of scattering data for nested conormal potentials
- Reconstruction of singularities from full scattering data by new estimates of bilinear Fourier multipliers
- Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators
- Recovering singularities of a potential from singularities of scattering data
- Reconstruction of singularities of a scattering potential in two dimensions
- Inverse backscattering
- Inverse backscattering in even dimensions
- Recovery of the singularities of a potential from backscattering data in general dimension
- Recovery of jumps and singularities in the multidimensional Schrödinger operator from limited data
- A Born approximation from backscattering data for live loads in Lamé system
- A time-dependent approach to the inverse backscattering problem
- RECOVERING SINGULARITIES FROM BACKSCATTERING IN TWO DIMENSIONS
- A Born Approximation for Live Loads in Navier Elasticity
- Inversion of Discontinuities for the Schrödinger Equation in Three Dimensions
- Inverse backscattering for the Schrödinger equation in 2D
- Local Smoothing for the Backscattering Transform
- Formal solutions of inverse scattering problems. IV. Error estimates
- A Note on the Spherical Maximal Operator for Radial Functions
- Generic Uniqueness for Two Inverse Problems in POtential Scattering
- Partial Recovery of a Potential from Backscattering Data
- Fixed Angle Scattering: Recovery of Singularities and Its Limitations
- Uniqueness for the inverse backscattering problem for angularly controlled potentials
- Reconstruction of Discontinuities from Backscattering Data in Two Dimensions
- ON THE SOLVABILITY OF OPERATORS WITH MULTIPLE CHARACTERISTICS
This page was built for publication: The double dispersion operator in backscattering: Hölder estimates and optimal Sobolev estimates for radial potentials
