Uniqueness results for inverse source problems for semilinear elliptic equations
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Publication:6557654
DOI10.1088/1361-6420/ad3088zbMATH Open1546.35263MaRDI QIDQ6557654
Yi-Hsuan Lin, Tony Liimatainen
Publication date: 18 June 2024
Published in: Inverse Problems (Search for Journal in Brave)
semilinear elliptic equationsinverse problemssine-Gordon equationgauge invarianceGross-Pitaevskii equationinverse source problems
Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Semilinear elliptic equations (35J61)
Cites Work
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- A global uniqueness theorem for an inverse boundary value problem
- Unique continuation and absence of positive eigenvalues for Schrödinger operators. (With an appendix by E. M. Stein)
- An introduction to partial differential equations
- On uniqueness in inverse problems for semilinear parabolic equations
- Inverse problems for Lorentzian manifolds and non-linear hyperbolic equations
- 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
- Inverse problems for the fractional Laplace equation with lower order nonlinear perturbations
- Monotonicity-based inversion of fractional semilinear elliptic equations with power type nonlinearities
- The Poisson embedding approach to the Calderón problem
- An inverse problem for a semi-linear elliptic equation in Riemannian geometries
- Uniqueness for the inverse boundary value problem with singular potentials in 2D
- Determining a random Schrödinger operator: both potential and source are random
- Inverse problems for elliptic equations with power type nonlinearities
- The Calderón inverse problem for isotropic quasilinear conductivities
- Reconstruction for the coefficients of a quasilinear elliptic partial differential equation
- On identifying magnetized anomalies using geomagnetic monitoring within a magnetohydrodynamic model
- Inverse problems for elliptic equations with fractional power type nonlinearities
- Simultaneous recovery of piecewise analytic coefficients in a semilinear elliptic equation
- Partial data inverse problems for quasilinear conductivity equations
- Uniqueness of recovery of some systems of semilinear partial differential equations
- Bose-Einstein Condensation and Superfluidity
- The Dirichlet-to-Neumann map for the elliptic sine-Gordon equation
- Identification of nonlinearity in a conductivity equation via the Dirichlet-to-Neumann map
- Inverse problem for an elliptic sine-Gordon equation with an asymptotic behaviour of the cnoidal-wave type
- 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
- Simultaneous recoveries for semilinear parabolic systems
- A remark on partial data inverse problems for semilinear elliptic equations
- Determining a Random Schrödinger Equation with Unknown Source and Potential
- Recovering a potential from Cauchy data in the two-dimensional case
- On a nonlinear model in domains with cavities arising from cardiac electrophysiology
- Elliptic Partial Differential Equations
- An inverse problem for a semilinear elliptic equation on conformally transversally anisotropic manifolds
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