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math.AP2026
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. T…
math.AP2025
Infinite-dimensional Lipschitz stability in the Calderón problem and general Zernike bases
Henrik Garde, Markus Hirvensalo, Nuutti Hyvönen
Calderón's inverse conductivity problem has, so far, only been subject to conditional logarithmic stability for infinite-dimensional classes of conductivities and to Lipschitz stab…
math.AP2024
Linearised Calderón problem: Reconstruction of unbounded perturbations in 3D
Henrik Garde, Markus Hirvensalo
Recently an algorithm was given in [Garde & Hyvönen, SIAM J. Math. Anal., 2024] for exact direct reconstruction of any perturbation from linearised data in the two-dimensiona…