Abstract
In this article, we establish logarithmic stability estimates for the determination of the perturbation of the biharmonic operator from partial data measurements when the inaccessible part of the domain is flat and homogeneous boundary conditions are assumed on this part. This is an improvement to a log-log type stability estimate proved earlier for the partial data case.
Funding statement: The first named author was supported by a post-doctoral fellowship under SERI (Swiss Government Excellence Scholarship).
Acknowledgements
The first author would like to thank Professor Gianluca Crippa and the Department of Mathematics and Computer science (University of Basel) for the warm and kind hospitality. He would also like to thank Professor Venkateswaran P. Krishnan for guiding him into the exciting terrain of Inverse problems.
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© 2017 by De Gruyter
Articles in the same Issue
- Frontmatter
- A functional Hodrick–Prescott filter
- On the peakon inverse problem for the Degasperis–Procesi equation
- Recovery of harmonic functions from partial boundary data respecting internal pointwise values
- Inverse spectral problems of transmission eigenvalue problem for anisotropic media with spherical symmetry assumptions
- An inverse problem for a nonlinear diffusion equation with time-fractional derivative
- Imaging of complex-valued tensors for two-dimensional Maxwell’s equations
- Direct and inverse source problems for a space fractional advection dispersion equation
- A conditional Lipschitz stability for determining a space-dependent source coefficient in the 2D/3D advection-dispersion equation
- Inverse transmission eigenvalue problems with the twin-dense nodal subset
- Stability of the inverse boundary value problem for the biharmonic operator: Logarithmic estimates
Articles in the same Issue
- Frontmatter
- A functional Hodrick–Prescott filter
- On the peakon inverse problem for the Degasperis–Procesi equation
- Recovery of harmonic functions from partial boundary data respecting internal pointwise values
- Inverse spectral problems of transmission eigenvalue problem for anisotropic media with spherical symmetry assumptions
- An inverse problem for a nonlinear diffusion equation with time-fractional derivative
- Imaging of complex-valued tensors for two-dimensional Maxwell’s equations
- Direct and inverse source problems for a space fractional advection dispersion equation
- A conditional Lipschitz stability for determining a space-dependent source coefficient in the 2D/3D advection-dispersion equation
- Inverse transmission eigenvalue problems with the twin-dense nodal subset
- Stability of the inverse boundary value problem for the biharmonic operator: Logarithmic estimates