Inverse problems for nonlinear hyperbolic equations with disjoint sources and receivers
From MaRDI portal
Publication:5014069
DOI10.1017/fmp.2021.11zbMath1479.35946arXiv2006.12158OpenAlexW3209715778WikidataQ115563685 ScholiaQ115563685MaRDI QIDQ5014069
Lauri Oksanen, Ali Feizmohammadi, Matti Lassas
Publication date: 6 December 2021
Published in: Forum of Mathematics, Pi (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.12158
Inverse problems for PDEs (35R30) Initial value problems for second-order hyperbolic equations (35L15) Hyperbolic equations on manifolds (58J45) Propagation of singularities; initial value problems on manifolds (58J47) Second-order quasilinear hyperbolic equations (35L72) Second-order semilinear hyperbolic equations (35L71)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Common midpoint versus common offset acquisition geometry in seismic imaging
- The Calderón problem with partial data for conductivities with 3/2 derivatives
- The Calderón problem in transversally anisotropic geometries
- Calderón inverse problem with partial data on Riemann surfaces
- An FIO calculus for marine seismic imaging. II: Sobolev estimates
- Boundary regularity for the Ricci equation, geometric convergence, and Gel'fand's inverse boundary problem
- Distance difference representations of Riemannian manifolds
- Limiting Carleman weights and anisotropic inverse problems
- Partial differential equations. III: Nonlinear equations.
- On uniqueness in the inverse conductivity problem with local data
- Non-unicité du problème de Cauchy
- Interaction of nonlinear progressing waves for semilinear wave equations
- Oscillatory integrals with singular symbols
- Recovering singularities of a potential from singularities of scattering data
- Boundary control and quasiphotons in the problem of reconstruction of a Riemannian manifold via dynamical data
- Lectures on nonlinear hyperbolic differential equations
- Inverse problems for the connection Laplacian
- The inverse problem for the Dirichlet-to-Neumann map on Lorentzian manifolds
- Inverse problems for Lorentzian manifolds and non-linear hyperbolic equations
- Inverse problems for semilinear wave equations on Lorentzian manifolds
- Nonlinear responses from the interaction of two progressing waves at an interface
- Scattering control for the wave equation with unknown wave speed
- Hyperbolic geometry and local Dirichlet-Neumann map
- A non uniqueness result for operators of principal type
- A class of singular Fourier integral operators in Synthetic Aperture Radar imaging
- Partial data inverse problems for semilinear elliptic equations with gradient nonlinearities
- Determination of a Riemannian manifold from the distance difference functions
- The light ray transform in stationary and static Lorentzian geometries
- Interactions of semilinear progressing waves in two or more space dimensions
- Inverse problem for the Yang-Mills equations
- Singularities generated by the triple interaction of semilinear conormal waves
- Partial data inverse problems and simultaneous recovery of boundary and coefficients for semilinear elliptic equations
- Local and global boundary rigidity and the geodesic X-ray transform in the normal gauge
- Recovery of time-dependent coefficients from boundary data for hyperbolic equations
- Uniqueness and reconstruction for the fractional Calderón problem with a single measurement
- An inverse problem for a semi-linear elliptic equation in Riemannian geometries
- Inverse problems for elliptic equations with power type nonlinearities
- Introduction to spectral theory and inverse problem on asymptotically hyperbolic manifolds
- Microlocal analysis of Doppler synthetic aperture radar
- Nonlinear interaction of waves in elastodynamics and an inverse problem
- The Calderón problem for the fractional Schrödinger equation
- Inverse problem of travel time difference functions on a compact Riemannian manifold with boundary
- Unique recovery of lower order coefficients for hyperbolic equations from data on disjoint sets
- Inverse problem for the Riemannian wave equation with Dirichlet data and Neumann data on disjoint sets
- The Calderón problem with partial data on manifolds and applications
- The Calderón problem with partial data
- Support theorems for the light ray transform on analytic Lorentzian manifolds
- Inverse boundary value problem by measuring Dirichlet data and Neumann data on disjoint sets
- Globally hyperbolic spacetimes can be defined as ‘causal’ instead of ‘strongly causal’
- The Calderón problem with partial data in two dimensions
- Fundamentals of Radar Imaging
- Singularities produced by the nonlinear interaction of three progressing waves;,examples
- To the reconstruction of a riemannian manifold via its spectral data (Bc–Method)
- Lagrangian Intersection and the Cauchy Problem
- On determining a Riemannian manifold from the Dirichlet-to-Neumann map
- Nucleation and mean curvature flow
- Singular FIOs in SAR Imaging, II: Transmitter and Receiver at Different Speeds
- Inverse problems for advection diffusion equations in admissible geometries
- Global existence for quasilinear wave equations close to Schwarzschild
- Global uniqueness for the fractional semilinear Schrödinger equation
- Microlocal analysis of seismic inverse scattering in anisotropic elastic media
- Unique continuation for solutions to pde's; between hörmander's theorem and holmgren' theorem
- Determination of Space‐Time Structures from Gravitational Perturbations
- INVERSE PROBLEMS FOR LINEAR AND NON-LINEAR HYPERBOLIC EQUATIONS
- Globally hyperbolic spacetimes can be defined without the ‘causal’ condition
- Reconstruction of Lorentzian Manifolds from Boundary Light Observation Sets
- A remark on partial data inverse problems for semilinear elliptic equations
- Inverse problems for quadratic derivative nonlinear wave equations
- Inverse Hyperbolic Problems with Time-Dependent Coefficients
- An FIO Calculus for Marine Seismic Imaging: Folds and Cross Caps
- Fermi Normal Coordinates and Some Basic Concepts in Differential Geometry
- The Linearized Calderón Problem in Transversally Anisotropic Geometries
