Global Uniqueness for an Inverse Stochastic Hyperbolic Problem with Three Unknowns
From MaRDI portal
Publication:5252282
DOI10.1002/cpa.21503zbMath1315.60080arXiv1107.3310OpenAlexW2963624538MaRDI QIDQ5252282
Publication date: 29 May 2015
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1107.3310
Related Items
Carleman Estimates of Refined Stochastic Beam Equations and Applications, On backward problems for stochastic fractional reaction equations with standard and fractional Brownian motion, Inverse problems for stochastic parabolic equations with additive noise, Null controllability and inverse source problem for stochastic Grushin equation with boundary degeneracy and singularity, Inverse problem for a random Schrödinger equation with unknown source and potential, Two Multiobjective Problems for Stochastic Degenerate Parabolic Equations, A numerical method for a backward problem of a linear stochastic Kuramoto-Sivashinsky equation, Hardy’s uncertainty principle and unique continuation property for stochastic heat equations, Global uniqueness in an inverse problem for a class of damped stochastic plate equations, Control theory of stochastic distributed parameter systems: recent progress and open problems, Determining a random Schrödinger operator: both potential and source are random, Carleman estimates for a stochastic degenerate parabolic equation and applications to null controllability and an inverse random source problem, Lipschitz stability for a semi-linear inverse stochastic transport problem, Determination of two unknowns simultaneously for stochastic Euler-Bernoulli beam equations, On recent progress of single-realization recoveries of random Schrödinger systems, Determining a Random Schrödinger Equation with Unknown Source and Potential, An internal observability estimate for stochastic hyperbolic equations, Carleman Estimates of Some Stochastic Degenerate Parabolic Equations and Application, A quasi solution for a nonlinear inverse stochastic partial differential equation of parabolic type, Local state observation for stochastic hyperbolic equations, A concise introduction to control theory for stochastic partial differential equations, On a stochastic nonclassical diffusion equation with standard and fractional Brownian motion, On the stability of recovering two sources and initial status in a stochastic hyperbolic-parabolic system
Cites Work
- Global uniqueness and stability for a class of multidimensional inverse hyperbolic problems with two unknowns.
- Sharp adaptation for inverse problems with random noise
- Numerical solution of an inverse medium scattering problem with a stochastic source
- Carleman and Observability Estimates for Stochastic Wave Equations
- Estimation Problems for Coefficients of Stochastic Partial Differential Equations. Part I
- On a global estimate in a linear inverse hyperbolic problem
- Global uniqueness and stability for an inverse wave source problem for less regular data