# Uniqueness results for inverse Robin problems with bounded coefficient

@article{Baratchart2014UniquenessRF, title={Uniqueness results for inverse Robin problems with bounded coefficient}, author={Laurent Baratchart and Laurent Bourgeois and Juliette Leblond}, journal={Journal of Functional Analysis}, year={2014}, volume={270}, pages={2508-2542} }

## 22 Citations

### A primal-dual approach for the Robin inverse problem in a nonlinear elliptic equation: The case of the 𝐿1 − 𝐿2 cost functional

- MathematicsJournal of Inverse and Ill-posed Problems
- 2022

Abstract In this work, we consider the inverse problem of identifying a Robin coefficient in a nonlinear elliptic equation with mixed boundary conditions. We firstly reformulate the inverse problem…

### Solving a nonlinear inverse Robin problem through a linear Cauchy problem

- MathematicsApplicable Analysis
- 2018

ABSTRACT Considered in this paper is an inverse Robin problem governed by a steady-state diffusion equation. By the Robin inverse problem, one wants to recover the unknown Robin coefficient on an…

### Iterated quasi-reversibility method applied to elliptic and parabolic data completion problems

- Mathematics
- 2015

We study the iterated quasi-reversibility method to regularize ill-posed elliptic and parabolic problems: data completion problems for Poisson's and heat equations. We define an abstract setting to…

### Weyl's law for the Steklov problem on surfaces with rough boundary

- Mathematics
- 2022

. The validity of Weyl’s law for the Steklov problem on domains with Lipschitz boundaries is a well-known open question in spectral geometry. We answer this question in two dimensions and show that…

### On some extremal problems for analytic functions with constraints on real or imaginary parts

- Mathematics
- 2018

We study some approximation problems by functions in the Hardy space H of the upper half-plane or by their real or imaginary parts, with constraint on their real or imaginary parts on the boundary.…

### Hölder stability estimate of Robin coefficient in corrosion detection with a single boundary measurement

- Mathematics
- 2015

This paper is concerned with the inverse problem of detecting a boundary corrosion coefficient which describes some corrosion index from a single pair of Cauchy data measured on an accessible…

### BOUNDARY ELEMENT METHODS WITH WEAKLY IMPOSED

- Mathematics
- 2019

\bfA \bfb \bfs \bft \bfr \bfa \bfc \bft . We consider boundary element methods where the Calder\'on projector is used for the system matrix and boundary conditions are weakly imposed using a…

### Flexibility of Steklov eigenvalues via boundary homogenisation

- Mathematics
- 2022

Recently, D. Bucur and M. Nahon used boundary homogenisation to show the remarkable ﬂexibility of Steklov eigenvalues of planar domains. In the present paper we extend their result to higher…

### On Some Extremal Problems for Analytic Functions with Constraints on Real or Imaginary Parts

- Mathematics
- 2017

We study some approximation problems by functions in the Hardy space H 2 of the upper half-plane or by their real or imaginary parts, with constraint on their real or imaginary parts on the boundary.…

### Joint estimation of Robin coefficient and domain boundary for the Poisson problem

- MathematicsInverse Problems
- 2021

We consider the problem of simultaneously inferring the heterogeneous coefficient field for a Robin boundary condition on an inaccessible part of the boundary along with the shape of the boundary for…

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