Research
Research
(with R. Wu) Fractional vector calculus and the fractional Maxwell's equations (2026). pdf
(with M. Lassas, M. Nursultanov, L. Oksanen, M. Salo and J. Schotland) Inverse scattering for single photons in quantum optics (2026). pdf
(with N. Kinash and R. Real) Introducing IPYA: the Inverse Problems Young Academy (2026).
to appear in EMS Magazine.
(with M. Lassas) An inverse problem for fractional random walks on finite graphs (2026). pdf
to appear in Inverse problems.
(with A. Kujanpää and J. Railo) Partial data stability for the inverse fractional conductivity problem (2026). pdf
to appear in Inverse problems and Imaging.
(with T. Ghosh, A. Rüland and G. Uhlmann) A reduction of the fractional Calderón problem to the local Calderón problem by means of the Caffarelli-Silvestre extension (2023). pdf
to appear in Journal des Mathématiques Pures et Appliquées.
(with H. Baers and A. Rüland) On instability properties of the fractional Calderón problem.
SIAM Journal on Mathematical Analysis, Vol. 57, Iss. 5 (2025). pdf
(with M. de Hoop and M. Salo) Geometrical optics for the fractional Helmholtz equation and applications to inverse problems.
To appear in M3AS: Mathematical Models and Methods in Applied Sciences, Vol. 35, No. 13 (2025). pdf
9. (with J. Railo, T. Tyni and P. Zimmermann) Stability estimates for the inverse fractional conductivity problem.
SIAM Journal on Mathematical Analysis, Vol. 56, Iss. 2 (2024). pdf
10. The inverse problem for the fractional conductivity equation: a survey.
In Inverse Problems: Modelling and Simulation, chapter 20. Springer Nature Switzerland, 2025. pdf
11. (with M. de Hoop and M. Salo) Uniqueness in an inverse problem of fractional elasticity.
Proceedings of the Royal Society A, Vol. 479, Iss. 2278 (2023). pdf
12. (with M. Á. Garcìa-Ferrero and A. Rüland) On the Calderòn problem for nonlocal Schrödinger equations with homogeneous, directionally antilocal principal symbols.
Journal of Differential Equations, Vol. 341, 79-149 (2022). pdf
13. Uniqueness for the fractional Calderòn problem with quasilocal perturbations.
SIAM Journal of Mathematical Analysis, Vol. 54, Iss. 6 (2022). pdf
14. (with K. Mönkkönen, J. Railo and G. Uhlmann) The higher order fractional Calderòn problem for linear local operators: uniqueness.
Advances in Mathematics, volume 399 (2022). pdf
15. (with K. Mönkkönen and J. Railo) Unique continuation property and Poincarè inequality for higher order fractional Laplacians with applications in inverse problems.
Inverse Problems & Imaging, 15 (4): 641-681 (2021). pdf
16. (with A. Rüland) On some partial data Calderòn type problems with mixed boundary conditions.
Journal of Differential Equations, Vol. 288, 141-203 (2021). pdf
17. An inverse problem for the fractional Schrödinger equation in a magnetic field.
Inverse Problems 36, no. 4 (2020). pdf
18. Inverse problems for a fractional conductivity equation.
Nonlinear Analysis 193, special issue: Nonlocal and Fractional Phenomena, 111418 (2020). pdf
19. (with M. de Hoop and M. Salo) Propagation of singularities and inverse problems for the viscoacoustic wave equation (2026). pdf
20. (with R.-Y. Lai and L. Yan) The higher-order fractional Schrödinger equation with nonlinear local perturbations: Uniqueness (2025). pdf
21. Uniqueness for the anisotropic fractional conductivity equation (2022). pdf
22. (with J. Railo and P. Zimmermann) The global inverse fractional conductivity problem (2022). pdf
I already have published works with all the following scholars (many new collaborations are ongoing at the moment):
Hendrik Baers (University of Bonn)
Maarten de Hoop (Rice University)
Maria Ángeles Garcìa-Ferrero (ICMAT - Madrid)
Tuhin Ghosh (Harish-Chandra Research Insititute)
Nataliia Kinash (University of Leeds)
Antti Kujanpää (LUT University)
Ru-Yu Lai (University of Minnesota)
Matti Lassas (University of Helsinki)
Keijo Mönkkönen (University of Jyväskylä)
Medet Nursultanov (Qazaq AI research university)
Lauri Oksanen (University of Helsinki)
Jesse Railo (LUT University)
Rommel Real (University of the Philippines Mindanao)
Angkana Rüland (University of Bonn)
Mikko Salo (University of Jyväskylä)
John Schotland (Yale University)
Teemu Tyni (University of Oulu)
Gunther Uhlmann (University of Washington)
Ruirui Wu (University of Washington)
Lili Yan (North Carolina State University)
Philipp Zimmermann (École Polytechnique Fédérale de Lausanne)