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Complex Calderón Problem

Publications

Garde, H. & Vogelius, M. (2026). Regularity and non-degeneracy of Φ^∗[I] implies regularity of the fixed boundary ∂Ω. arxiv.org. https://arxiv.org/abs/2608.18400

Eberle-Blick, S., Garde, H. & Hyvönen, N. (Accepted/In press). Direct reconstruction of general elastic inclusions. SIAM Journal on Mathematical Analysis. https://arxiv.org/abs/2507.04831

Garde, H., Hyvönen, N. & Pohjola, V. (2026). Reconstruction of shear modulus inclusions in elastostatics via divergence-free localization. arxiv.org. https://doi.org/10.48550/arXiv.2608.12141

Garde, H., Johansson, D. & Zacharopoulos, T. (2026). Reconstruction of non-self-adjoint anisotropic and complex inclusions in the Calderón problem. arxiv.org. https://arxiv.org/abs/2605.05021

Cornean, H., Garde, H. & Jensen, A. (2026). On the directional growth of the resolvent norm. arxiv.org. https://doi.org/10.48550/arXiv.2602.18211

Garde, H., Hirvensalo, M. & Hyvönen, N. (2026). Infinite-dimensional Lipschitz stability in the Calderón problem and general Zernike bases. Calculus of Variations and Partial Differential Equations, 65(3), Article 89. https://doi.org/10.1007/s00526-026-03261-0

Garde, H., Johansson, D. & Zacharopoulos, T. (2025). Direct reconstruction of anisotropic self-adjoint inclusions in the Calderón problem. arxiv.org. https://arxiv.org/abs/2509.10994

Garde, H. (2026). Reconstruction in the Calderón problem on a fixed partition from finite and partial boundary data. Applied Mathematics Letters, 175, Article 109841. https://doi.org/10.1016/j.aml.2025.109841

Autio, A., Garde, H., Hirvensalo, M. & Hyvönen, N. (2025). Linearization-based direct reconstruction for EIT using triangular Zernike decompositions. Inverse Problems and Imaging, 19(3), 456-478. https://doi.org/10.3934/ipi.2024040

Garde, H. & Hirvensalo, M. (2025). Linearized Calderón problem: Reconstruction of unbounded perturbations in three dimensions. SIAM Journal on Applied Mathematics, 85(1), 210-223. https://doi.org/10.1137/24M1649162

Garde, H. & Hyvönen, N. (2024). Linearized Calderón problem: Reconstruction and Lipschitz stability for infinite-dimensional spaces of unbounded perturbations. SIAM Journal on Mathematical Analysis, 56(3), 3588-3604. https://doi.org/10.1137/23M1609270

Revised 20.08.2026

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Lars Madsen