3 papers
math.AP2026
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…
math.AP2026
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…
math.AP2025
An inverse problem for a nonlinear biharmonic operator
Janne Nurminen, Suman Kumar Sahoo
An inverse problem for a nonlinear biharmonic operator is under consideration in the spirit of Isakov (1993) and Johansson-Nurminen-Salo (2023). We prove that a general nonlinear t…