An FIO calculus for marine seismic imaging. II: Sobolev estimates
From MaRDI portal
Publication:663222
DOI10.1007/S00208-011-0644-5zbMath1237.35168arXiv0903.1780OpenAlexW1972954555MaRDI QIDQ663222
Malabika Pramanik, Raluca Felea, Allan Greenleaf
Publication date: 14 February 2012
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0903.1780
Pseudodifferential operators as generalizations of partial differential operators (35S05) Seismology (including tsunami modeling), earthquakes (86A15) Inverse problems for waves in solid mechanics (74J25) Fourier integral operators applied to PDEs (35S30) Pseudodifferential operators (47G30)
Related Items (6)
Singular FIOs in SAR Imaging, II: Transmitter and Receiver at Different Speeds ⋮ Microlocal analysis of borehole seismic data ⋮ Microlocal analysis for spherical Radon transform: two nonstandard problems ⋮ Microlocal Analysis of FIOs with Singularities ⋮ Inverse problems for nonlinear hyperbolic equations with disjoint sources and receivers ⋮ Common midpoint versus common offset acquisition geometry in seismic imaging
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Estimates for singular convolution operators on the Heisenberg group
- Composition of some singular Fourier integral operators and estimates for restricted X-ray transforms
- Near peak scattering and the corrected Kirchhoff approximation for a convex obstacle
- Hilbert integrals, singular integrals, and Radon transforms. I
- Oscillatory integrals with singular symbols
- Composition of some singular Fourier integral operators and estimates for restricted X-ray transforms. II
- Anomalous reflections near a caustic
- Recovering singularities of a potential from singularities of scattering data
- Degenerate Fourier integral operators in the plane
- \(L^2\) estimates for averaging operators along curves with two-sided \(k\)-fold singularities
- Singular Radon transforms and oscillatory integrals
- Sobolev estimates for fractional and singular Radon transforms
- Harmonic analysis on nilpotent groups and singular integrals. III: Fractional integration along manifolds
- Models of degenerate Fourier integral operators and Radon transforms
- Oscillatory and Fourier integral operators with degenerate canonical relations
- Bounds for singular fractional integrals and related Fourier integral operators
- Singular and maximal Radon transforms: Analysis and geometry
- An analogue to a theorem of Fefferman and Phong for averaging operators along curves with singular fractional integral kernel
- Fourier integral operators. I
- Estimates for singular Radon transforms and pseudodifferential operators with singular symbols
- Rigidity of broken geodesic flow and inverse problems
- A Linearised inverse problem for the wave equation
- Symbol calculus associated with intersecting lagrangians
- Problems in harmonic analysis related to curvature
- Optional regularity of fourier integral operators with one-sided folds
- Fourier integral operators with fold singularities.
- Global solution of a linearized inverse problem for the wave equation
- Scattering in the Presence of Fold Caustics
- Strong Type Endpoint Bounds for Analytic Families of Fractional Integrals
- Spatially inhomogeneous pseudodifferential operators, II
- A sharp bound for the Stein-Wainger oscillatory integral
- Lp-Lqboundedness of analytic families of fractional integrals
- An FIO Calculus for Marine Seismic Imaging: Folds and Cross Caps
- The estimation of an integral arising in multiplier transformations
- Composition of Fourier Integral Operators with Fold and Blowdown Singularities
- Fourier integral operators
- A microlocal analysis of migration.
- Microlocal analysis of a seismic linearized inverse problem.
This page was built for publication: An FIO calculus for marine seismic imaging. II: Sobolev estimates
