Stability for determination of Riemannian metrics by spectral data and Dirichlet-to-Neumann map limited on arbitrary subboundary
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Publication:2282744
DOI10.3934/ipi.2019054zbMath1429.35211OpenAlexW2980560761MaRDI QIDQ2282744
Masahiro Yamamoto, Oleg Yurievich Imanuvilov
Publication date: 19 December 2019
Published in: Inverse Problems and Imaging (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/ipi.2019054
Boundary value problems for second-order elliptic equations (35J25) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Inverse problems for PDEs (35R30) PDEs on manifolds (35R01)
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Cites Work
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- Stability and uniqueness for a two-dimensional inverse boundary value problem for less regular potentials
- Uniqueness for inverse boundary value problems by Dirichlet-to-Neumann map on subboundaries
- Global uniqueness and reconstruction for the multi-channel Gel'fand-Calderón inverse problem in two dimensions
- Multidimensional inverse spectral problem for the equation \(-\Delta \psi -(v(x)-Eu(x))\psi =0\)
- Stability estimate for a multidimensional inverse spectral problem with partial spectral data
- Stability estimates for the anisotropic wave equation from the Dirichlet-to-Neumann map
- Stability estimate for an inverse wave equation and a multidimensional Borg-Levinson theorem
- Carleman estimates for parabolic equations with nonhomogeneous boundary conditions
- An \(n\)-dimensional Borg-Levinson theorem
- Some remarks on the multi-dimensional Borg-Levinson theorem
- Elliptic partial differential equations of second order
- An \(n\)-dimensional Borg--Levinson theorem for singular potentials
- Partial Cauchy data for general second order elliptic operators in two dimensions
- Exponential instability in an inverse problem for the Schrödinger equation
- New global stability estimates for the Calderón problem in two dimensions
- A global stability estimate for the Gel'fand–Calderón inverse problem in two dimensions
- An anisotropic inverse boundary value problem
- The stability for the Cauchy problem for elliptic equations
- To the reconstruction of a riemannian manifold via its spectral data (Bc–Method)
- Boundary control in reconstruction of manifolds and metrics (the BC method)
- Controllability of parabolic equations
- Stability for the Multi-Dimensional Borg-Levinson Theorem with Partial Spectral Data
- Stable Determination of a Simple Metric, a Covector Field and a Potential from the Hyperbolic Dirichlet-to-Neumann Map
- Multidimensional Borg–Levinson theorem
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