Keywords: 35R30; 35L05; Carleman estimate; Gaussian curvature; Isotropic pseudo-Riemannian metric;
مقالات ISI (ترجمه نشده)
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Keywords: Inverse problem; Fractional diffusion equation; Tikhonov regularization; Convergence analysis; 35R30; 35R11; 65M32;
Keywords: 35R30; 35L05; 74B05; 47A52; 65J20; Inverse elastic scattering; Elasticity imaging; Topological derivative; Resolution analysis; Stability analysis;
Keywords: 35R30; 41A27; 76Q05; Stratified ocean waveguide; Inhomogeneous media; Direct sampling method;
Keywords: 35R30; 35R11; 58J99; Inverse problems; Fractional diffusion equation; Partial data; Uniqueness result;
Keywords: primary; 35R30; Inverse problems; Maxwell equations; Partial data; Admissible manifolds; Carleman estimates;
Keywords: 35R30; 65N21; 65N25; 35J05; 78A46; 78A40; Invisibility; Acoustic waveguide; Asymptotic analysis; Scattering matrix;
Keywords: 35R30; 35R60; 53C22; Passive imaging; Inverse problems; Wave equation; Riemannian manifold;
Keywords: primary; 35R30; secondary; 35S05; 44A12; 35R01; X-ray transform; Radon transform; Attenuated X-ray transform; Range characterization; Reconstruction formulas; Inverse problems;
Keywords: 35R30; 35K20; 35K58; Parabolic equation; Carleman inequality; Logarithmic stability; Partial Dirichlet-to-Neumann map; Semilinear parabolic equation;
Keywords: 35B30; 35R30; 74J25; Inverse scattering; Super-resolution; Scattering coefficients;
Keywords: 35R30; 35J15; 30C62; Calderón Inverse Problem; Complex Geometric Optics Solutions; Stability; Quasiconformal mappings; Integral modulus of continuity;
Keywords: primary; 74J20; 35R30; secondary; 58J50; 74B05; Elastic scattering; Lamé system; Shear and pressure waves; Decoupling; Inverse elastic scattering; Uniqueness and stability;
Keywords: Primary 35J10; 35K05; 35R30; Secondary 37G30; 37B25; 34C23; Semilinear PDE; Reaction-diffusion equation; Behavior of solutions; Chaos;
Keywords: 35P25; 58J50; 35R30; 81V80; Interior transmission eigenfunction; Corner; Vanishing and localizing; Non-scattering;
Keywords: 35R30; 35L05; Inverse problems; Wave equation; Time-dependent potential; Uniqueness; Carleman estimates; Partial data;
Keywords: 53A10; 58E12; 14H40; 30D10; 35J15; 35R30; 40A20; Sinh-Gordon equation; Spectral theory; Integrable systems; Inverse problem; Jacobi variety;
Keywords: 35R30; 65N21; 65T60; 68U10; Morphological component analysis; Signal separation; Sparse representations; Disjoint sparsity; Inverse problems; Hybrid imaging; Quantitative photoacoustic tomography;
Keywords: 35R30; 35R11; 35B50; Inverse source problem; Fractional diffusion equation; Harnack's inequality; Strong maximum principle;
Keywords: primary; 74J20; 74J25; secondary; 35R30; 35Q74; Inverse scattering; Polyhedral scatterers; Sound-hard; Stability; Reflection principle;
Keywords: primary; 35R30; 35B35; 35J15; 35Q86; Electrical impedance tomography; Lipschitz stability; Piecewise linear conductivities;
Keywords: 34A55; 34L40; 35R30; 35Q60; 35J40Interior transmission problem; Inverse spectral problem; Transmission eigenvalue; Weyl-function
Keywords: 35R30; 78A46Increasing stability; Inverse source problems; Multiple frequencies
Keywords: primary; 35B53; 35B60; 35L05; 58J45; 93B05; secondary; 35R30; 31B20; 58E25; Wave equation; Unique continuation property; Stability; Analysis on manifolds; Optimal control time;
Keywords: 35R30; 35B30; 65W21; Electrical impedance spectroscopy; Stochastic homogenization; Maxwell-Wagner-Fricke formula; Debye relaxation time;
Keywords: 35R30; 35Q35Inverse boundary value problems; Time-harmonic wave equation; Acoustic tomography
Keywords: 35R30; 35B30; Generalized polarization tensors; Rigid and scaling transformations; Invariant; Shape descriptor;
Keywords: 35J10; 35P25; 35R30; 81U40Schrödinger equation; Monochromatic scattering data; Phase recovering; Phaseless inverse scattering
Keywords: 35R30; 86A15; 53C21Geometric inverse problems; Riemannian manifold; Shape operator
Keywords: 35R30; 35B30; 65N21Electrical impedance tomography; Hybrid imaging; Ultrasonically-induced Lorentz force; Optimal control; Orthogonal field method; Viscosity-type regularization
Keywords: 74B05; 35R30; 35J25; 74J20Elastic cloaking; Transformation elastodynamics; Lamé system; Regularization; Asymptotic estimates
Keywords: 35R30; 35L05; 65M32; 65M06Discrete Carleman estimates; Inverse problem; Stability estimates; Wave equation
Keywords: primary; 74J20; 74J25; secondary; 35Q74; 35R30; Inverse elastic scattering; Multiscale scatterers; Asymptotic estimate; Indicator functions; Locating;
Keywords: 35R30; 35C20Generalized polarization tensors; Inhomogeneous conductivity; Neumann-to-Dirichlet map; Asymptotic expansion; Inverse conductivity problem
Keywords: 35R30; 35B30Acousto-optic tomography; Parameter with bounded variation; Reconstruction; Stability
Keywords: 35R30; 49N45; 35K05; 47A05Heat flux identification; Linearization algorithm; Conjugate gradient method; Nonlinear parabolic equation
Keywords: 35R30; 35J10; 49J40Inverse problem; Schrödinger equation; Variational method
Keywords: 35R30; 41A27; 76Q05Stratified ocean; Acoustic point source; Direct sampling method
Keywords: 35R30; 35L20; 65M32; 65F10; 65F22Inverse source problem; Hyperbolic equation; Carleman estimate; Iterative thresholding algorithm
Steklov zeta-invariants and a compactness theorem for isospectral families of planar domains
Keywords: primary; 35R30; secondary; 35P99; Steklov spectrum; Dirichlet-to-Neumann operator; Zeta function; Inverse spectral problem;
Subwavelength phononic bandgap opening in bubbly media
Keywords: 35R30; 35C20; Minnaert resonance; Bubble; Phononic band gap; Layer potentials; Acoustic waves;
Mathematical analysis of plasmonic resonances for nanoparticles: The full Maxwell equations
Keywords: 35R30; 35C20Plasmonic resonance; Neumann–Poincaré operator; Nanoparticle; Scattering and absorption enhancements; Maxwell equations; Maxwell–Garnett theory
Galerkin schemes and inverse boundary value problems in reflexive Banach spaces
Keywords: 65N30; 49J40; 35R30; 46B10Lax–Milgram theorem; Galerkin methods; Biorthogonal systems; Elliptic boundary value problems; Inverse problems; Reflexive spaces
A new global Carleman estimate for the one-dimensional Kuramoto–Sivashinsky equation and applications to exact controllability to the trajectories and an inverse problem
Keywords: 93B05; 35R30; 35K35; 93C10Carleman estimate; Kuramoto–Sivashinsky equation; Controllability; Inverse problem
A mathematical and numerical framework for magnetoacoustic tomography with magnetic induction
Keywords: 35R30; 35B30Electrical conductivity imaging; Hybrid imaging; Lorentz force induced tissue vibration; Optimal control; Orthogonal field method; Viscosity-type regularization
On multiple frequency power density measurements II. The full Maxwell's equations
Keywords: 35R30; 35Q61; 35B30Hybrid imaging; Sets of measurements; Internal measurements; Multiple frequencies; Maxwell's equations; Qualitative properties
Posterior contraction rates for the Bayesian approach to linear ill-posed inverse problems
Keywords: 62G20; 62C10; 35R30; 45Q05Posterior consistency; Posterior contraction; Gaussian prior; Posterior distribution; Inverse problems
Existence and uniqueness of a solution for a two dimensional nonlinear inverse diffusion problem
Keywords: 35R30; 35K57; Inverse problem; Nonlinear diffusion problem; Square porous medium;
An inverse problem of identifying the coefficient of first-order in a degenerate parabolic equation
Keywords: 35R30; 49J20; 65M32Inverse problem; Degenerate parabolic equation; Uniqueness; Predictor–corrector method; Numerical results
Inverse problem of time-dependent heat sources numerical reconstruction
Keywords: 35R30; 49J20Inverse problem; Heat source; Green function; Landweber iteration; Numerical results