6 papers
Inverse problems for semilinear elliptic equations with low regularity
David Johansson, Janne Nurminen, Mikko Salo
We show that a general nonlinearity is uniquely determined, possibly up to a gauge, in a neighborhood of a fixed solution from boundary measurements of the corresponding s…
Corrosion detection by identification of a nonlinear Robin boundary condition
David Johansson
We study an inverse boundary value problem in corrosion detection. The model is based on a conductivity equation with nonlinear Robin boundary condition. We prove that the nonlinea…
Inverse problems for semilinear elliptic PDE with a general nonlinearity
David Johansson, Janne Nurminen, Mikko Salo
This article studies the inverse problem of recovering a nonlinearity in an elliptic equation from boundary measurements of solutions. Previous results based on…
Reconstruction of non-self-adjoint anisotropic and complex inclusions in the Calderón problem
Henrik Garde, David Johansson, Thanasis Zacharopoulos
We generalize recent results on the monotonicity method, for inclusion detection in the partial data anisotropic Calderón problem, to very general non-self-adjoint perturbations.…
Recovery of nonlinear material parameters in a quasilinear Lamé system
David Johansson, Yavar Kian
We investigate the inverse problem of determining nonlinear elastic material parameters from boundary stress measurements corresponding to prescribed boundary displacements. The ma…
Direct reconstruction of anisotropic self-adjoint inclusions in the Calderón problem
Henrik Garde, David Johansson, Thanasis Zacharopoulos
We extend the monotonicity method for direct exact reconstruction of inclusions in the partial data Calderón problem, to the case of general anisotropic conductivities in any spat…