Stability of the inverse boundary value problem for the biharmonic operator: logarithmic estimates
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Publication:522957
DOI10.1515/jiip-2016-0019zbMath1368.31003OpenAlexW2524557750MaRDI QIDQ522957
Anupam Pal Choudhury, Horst Heck
Publication date: 20 April 2017
Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)
Full work available at URL: https://edoc.unibas.ch/69972/1/2016-05-Biharmonic-stability.pdf
Boundary value problems for higher-order elliptic equations (35J40) Inverse problems for PDEs (35R30) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30)
Related Items (11)
Optimal stability estimate in the inverse boundary value problem for periodic potentials with partial data ⋮ Inverse boundary value problem of determining up to a second order tensor appear in the lower order perturbation of a polyharmonic operator ⋮ Inverse backscattering problem for perturbations of biharmonic operator ⋮ An iterative regularizing method for an incomplete boundary data problem for the biharmonic equation ⋮ Boundary value problem of the operator \(\oplus^k\) related to the biharmonic operator and the diamond operator ⋮ Stability estimates in a partial data inverse boundary value problem for biharmonic operators at high frequencies ⋮ Stability estimates for the inverse boundary value problem for the first order perturbation of the biharmonic operator ⋮ Regularized solution of an ill-posed biharmonic equation ⋮ Inverse scattering for the higher order Schrödinger operator with a first order perturbation ⋮ Modified nonlocal boundary value problem method for an ill-posed problem for the biharmonic equation ⋮ Stability for an Inverse Source Problem of the Biharmonic Operator
Cites Work
- Stability estimates for the Radon transform with restricted data and applications
- A global uniqueness theorem for an inverse boundary value problem
- Determining a first order perturbation of the biharmonic operator by partial boundary measurements
- Determining the first order perturbation of a bi-harmonic operator on bounded and unbounded domains from partial data
- Completeness of products of solutions and some inverse problems for PDE
- Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
- On uniqueness in the inverse conductivity problem with local data
- Carleman estimates and inverse problems for Dirac operators
- A special Green's function for the biharmonic operator and its application to an inverse boundary value problem
- Stability estimates for the inverse boundary value problem for the biharmonic operator with bounded potentials
- Inverse boundary value problems for the perturbed polyharmonic operator
- Optimal stability estimate of the inverse boundary value problem by partial measurements
- Stability estimates for the inverse boundary value problem by partial Cauchy data
- Stability Estimates for an Inverse Problem for the Magnetic Schrödinger Operator
- Stability Estimates for Coefficients of Magnetic Schrödinger Equation from Full and Partial Boundary Measurements
- Stability Estimates for the Inverse Conductivity Problem for Less Regular Conductivities
- RECOVERING A POTENTIAL FROM PARTIAL CAUCHY DATA
- Stable determination of conductivity by boundary measurements
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