Simultaneous recoveries for semilinear parabolic systems
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Publication:5043665
DOI10.1088/1361-6420/ac91eezbMath1498.35620arXiv2111.05242OpenAlexW3214425435MaRDI QIDQ5043665
Xu Liu, Yi-Hsuan Lin, Hongyu Liu, Shen Zhang
Publication date: 6 October 2022
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.05242
uniquenesssemilinear parabolic equationCarleman estimateinverse boundary problemsimultaneous recoveryactive measurementpassive measurement
Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Semilinear parabolic equations (35K58)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unique continuation for some evolution equations
- On uniqueness in inverse problems for semilinear parabolic equations
- Inverse problems for Lorentzian manifolds and non-linear hyperbolic equations
- Inverse problems for semilinear wave equations on Lorentzian manifolds
- Logarithmic stability in determining the time-dependent zero order coefficient in a parabolic equation from a partial Dirichlet-to-Neumann map. application to the determination of a nonlinear term
- On identifying magnetized anomalies using geomagnetic monitoring
- On a quasilinear inverse boundary value problem
- Partial data inverse problems for semilinear elliptic equations with gradient nonlinearities
- Partial data inverse problems and simultaneous recovery of boundary and coefficients for semilinear elliptic equations
- Direct and inverse problems for the nonlinear time-harmonic Maxwell equations in Kerr-type media
- Inverse problems for fractional semilinear elliptic equations
- Detection of Hermitian connections in wave equations with cubic non-linearity
- Monotonicity-based inversion of fractional semilinear elliptic equations with power type nonlinearities
- An inverse problem for a semi-linear elliptic equation in Riemannian geometries
- Determining a random Schrödinger operator: both potential and source are random
- Inverse problems for elliptic equations with power type nonlinearities
- Reconstruction for the coefficients of a quasilinear elliptic partial differential equation
- Nonlinear interaction of waves in elastodynamics and an inverse problem
- On identifying magnetized anomalies using geomagnetic monitoring within a magnetohydrodynamic model
- Long time average of first order mean field games and weak KAM theory
- An inverse boundary value problem for certain anisotropic quasilinear elliptic equations
- Inverse problems for elliptic equations with fractional power type nonlinearities
- Partial data inverse problems for quasilinear conductivity equations
- Conditional stability in determination of initial data for stochastic parabolic equations
- Mean Field Games and Applications
- Identification of nonlinearity in a conductivity equation via the Dirichlet-to-Neumann map
- Determining both sound speed and internal source in thermo- and photo-acoustic tomography
- Inverse problems in quasilinear anisotropic media
- Global uniqueness for the fractional semilinear Schrödinger equation
- Recovery of coefficients for a weighted p-Laplacian perturbed by a linear second order term
- A remark on partial data inverse problems for semilinear elliptic equations
- Determining a Random Schrödinger Equation with Unknown Source and Potential
- Inverse problems for quadratic derivative nonlinear wave equations