Abstract
We study an inverse boundary value problem for a polyharmonic operator
in two dimensions. We show that the Cauchy data uniquely determine all the anisotropic perturbations of orders at most
Funding source: Engineering and Physical Sciences Research Council
Award Identifier / Grant number: EP/R014604/1
Funding statement: Venkateswaran P. Krishnan would like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, for support and hospitality during Rich and Nonlinear Tomography – a multidisciplinary approach in 2023 where part of this work was done (supported by EPSRC Grant Number EP/R014604/1).
Acknowledgements
The authors thank Manas Kar for suggesting this problem and Masaru Ikehata for drawing our attention to the references [14, 15, 16].
References
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© 2024 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Determination of lower order perturbations of a polyharmonic operator in two dimensions
- About the supports in the Fredholm convolution
- An a priori method for estimating the informativeness of the configuration of sensor placement when solving inverse problems of remote sensing
- A coefficient identification problem for a system of advection-diffusion-reaction equations in water quality modeling
- Inverse problems for the eigenparameter Dirac operator with complex weight
- Recovery analysis for the ℓ p /ℓ1 minimization problem
- Approximate recovery of the Sturm–Liouville problem on a half-line from the Weyl function
- On the solvability of an inverse problem for the Burgers equation with an integral overdetermination condition in a nonlinearly degenerating domain
Artikel in diesem Heft
- Frontmatter
- Determination of lower order perturbations of a polyharmonic operator in two dimensions
- About the supports in the Fredholm convolution
- An a priori method for estimating the informativeness of the configuration of sensor placement when solving inverse problems of remote sensing
- A coefficient identification problem for a system of advection-diffusion-reaction equations in water quality modeling
- Inverse problems for the eigenparameter Dirac operator with complex weight
- Recovery analysis for the ℓ p /ℓ1 minimization problem
- Approximate recovery of the Sturm–Liouville problem on a half-line from the Weyl function
- On the solvability of an inverse problem for the Burgers equation with an integral overdetermination condition in a nonlinearly degenerating domain