Lorentzian Calderon problem: visibility and invisibility

Project Information

LoCal

Grant agreement ID: 101086697

DOI

10.3030/101086697

EC signature date 19 February 2023

Start date 1 August 2023

End date 31 July 2028

Funded under

• European Research Council (ERC)

Total cost

€ 1 372 986,00

EU contribution

€ 1 372 986,00

Coordinated by

HELSINGIN YLIOPISTO
Finland

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Deliverables

Data Management Plan (1)

Data Management Plan

Drafting of Data Management Plan

Publications

Other (2)

Retrieving Yang–Mills–Higgs fields in Minkowski space from active local measurements

Author(s): Xi Chen; Matti Lassas; Lauri Oksanen; Gabriel P. Paternain
Published in: Mathematische Annalen, 2024, ISSN 1432-1807
Publisher: Springer
DOI: 10.48550/ARXIV.2204.12776

Stable Recovery of Coefficients in an Inverse Fault Friction Problem

Author(s): Maarten V. de Hoop; Matti Lassas; Jinpeng Lu; Lauri Oksanen
Published in: Archive for Rational Mechanics and Analysis, 2024, ISSN 1432-0673
Publisher: Springer
DOI: 10.48550/ARXIV.2310.12698

Peer reviewed articles (20)

Remarks on the anisotropic Calderón problem

Author(s): Cătălin Cârstea, Ali Feizmohammadi, Lauri Oksanen
Published in: Proceedings of the American Mathematical Society, Issue 151, 2023, ISSN 0002-9939
Publisher: American Mathematical Society (AMS)
DOI: 10.1090/PROC/16455

Inverse problems for real principal type operators

Author(s): Lauri Oksanen, Mikko Salo, Plamen Stefanov, Gunther Uhlmann
Published in: American Journal of Mathematics, Issue 146, 2024, ISSN 1080-6377
Publisher: Project MUSE
DOI: 10.1353/AJM.2024.A917541

The Backscattering Problem for Time-Dependent Potentials

Author(s): Medet Nursultanov; Lauri Oksanen; Plamen Stefanov
Published in: Annales Henri Poincaré, 2025, ISSN 1424-0661
Publisher: Springer
DOI: 10.48550/ARXIV.2407.01922

Quantitative unique continuation for the elasticity system with application to the kinematic inverse rupture problem

Author(s): Maarten V. de Hoop, Matti Lassas, Jinpeng Lu, Lauri Oksanen
Published in: Communications in Partial Differential Equations, Issue 48, 2023, ISSN 0360-5302
Publisher: Informa UK Limited
DOI: 10.1080/03605302.2023.2175215

Lorentzian Calderón problem near the Minkowski geometry

Author(s): Alexakis, S., Feizmohammadi, A., & Oksanen, L
Published in: Journal of the European Mathematical Society, 2025, ISSN 1435-9863
Publisher: EMS
DOI: 10.48550/ARXIV.2112.01663FOCUSTOLEARNMORE

Inverse Problems and Imaging

Author(s): J. Ilmavirta, M. Lassas, J. Lu, L. Oksanen, and L. Ylinen.
Published in: Inverse Problems and Imaging, ISSN 1930-8337
Publisher: AIMS
DOI: 10.48550/ARXIV.2306.05253

Coefficient Determination for Nonlinear Schrödinger Equations on Manifolds

Author(s): Matti Lassas, Lauri Oksanen, Suman Kumar Sahoo, Mikko Salo, Alexander Tetlow
Published in: SIAM Journal on Mathematical Analysis, Issue 57, 2025, ISSN 0036-1410
Publisher: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/24M1704257

Linearized boundary control method for density reconstruction in acoustic wave equations

Author(s): Lauri Oksanen; Tianyu Yang; Yang Yang
Published in: Inverse Problems, 2024, ISSN 1757-899X
Publisher: IOP
DOI: 10.48550/ARXIV.2405.14989

Negative Eigenvalue Estimates for the 1D Schrödinger Operator with Measure-Potential

Author(s): Robert Fulsche; Medet Nursultanov; Grigori Rozenblum
Published in: Annales Henri Poincaré, 2025, ISSN 1424-0661
Publisher: Springer
DOI: 10.48550/ARXIV.2408.05980

Rigidity of inverse problems for nonlinear elliptic equations on manifolds

Author(s): Ali Feizmohammadi, Yavar Kian, Lauri Oksanen
Published in: Bulletin of the London Mathematical Society, Issue 56, 2024, ISSN 0024-6093
Publisher: Wiley
DOI: 10.1112/BLMS.13102

On the stability of an inverse problem for waves via the boundary control method. J. Differ. Equations

Author(s): BS. Filippas and L. Oksanen.
Published in: Journal of Differential Equations, 2026, ISSN 1090-2732
Publisher: Science Direct
DOI: 10.48550/ARXIV.2502.13014FOCUSTOLEARNMORE

olving the unique continuation problem for Schrödinger equations with low regularity solutions using a stabilized finite element method

Author(s): Burman, E., Lu, M., & Oksanen, L.
Published in: Mathematical Modelling and Numerical Analysis, 2025, ISSN 2804-7214
Publisher: ESAIM
DOI: 10.48550/ARXIV.2403.16914

An inverse problem for the Riemannian minimal surface equation

Author(s): Cătălin I. Cârstea, Matti Lassas, Tony Liimatainen, Lauri Oksanen
Published in: Journal of Differential Equations, Issue 379, 2023, ISSN 0022-0396
Publisher: Elsevier BV
DOI: 10.1016/J.JDE.2023.10.039

Spacetime finite element methods for control problems subject to the wave equation

Author(s): Erik Burman, Ali Feizmohammadi, Arnaud Münch, Lauri Oksanen
Published in: ESAIM: Control, Optimisation and Calculus of Variations, Issue 29, 2024, ISSN 1292-8119
Publisher: EDP Sciences
DOI: 10.1051/COCV/2023028

Disjoint Data Inverse Problem on Manifolds with Quantum Chaos Bounds

Author(s): Matti Lassas, Medet Nursultanov, Lauri Oksanen, Lauri Ylinen
Published in: SIAM Journal on Mathematical Analysis, Issue 56, 2024, ISSN 0036-1410
Publisher: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/23M1606897

$$L_p\rightarrow L_q$$ boundedness of Fourier multipliers

Author(s): Nursultanov, Medet
Published in: Analysis Mathematica, 2025, ISSN 1588-273X
Publisher: Springer
DOI: 10.48550/ARXIV.2210.11183

Optimal Approximation of Unique Continuation

Author(s): Burman, Erik; Nechita, Mihai; Oksanen, Lauri
Published in: Foundations of Computational Mathematics, 2024, ISSN 1615-3383
Publisher: Springer
DOI: 10.1007/S10208-024-09655-W

Finite element approximation of unique continuation of functions with finite dimensional trace

Author(s): Erik Burman, Lauri Oksanen
Published in: Mathematical Models and Methods in Applied Sciences, Issue 34, 2024, ISSN 0218-2025
Publisher: World Scientific Pub Co Pte Ltd
DOI: 10.1142/S0218202524500362

Inverse problems for real principal type operators

Author(s): Oksanen, L., Salo, M., Stefanov, P., & Uhlmann, G.
Published in: American Journal of Mathematics, 2024, ISSN 1080-6377
Publisher: Hopkins Press
DOI: 10.48550/ARXIV.2001.07599

Computational Unique Continuation with Finite Dimensional Neumann Trace

Author(s): Erik Burman; Lauri Oksanen; Ziyao Zhao
Published in: SIAM Journal on Numerical Analysis, 2025, ISSN 2217-3412
Publisher: SIAM
DOI: 10.48550/ARXIV.2402.13695