Research
Research
(with R. Wu) Fractional vector calculus and the fractional Maxwell's equations (2026). pdf
(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
7. (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
8. The inverse problem for the fractional conductivity equation: a survey.
In Inverse Problems: Modelling and Simulation, chapter 20. Springer Nature Switzerland, 2025. pdf
9. (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
10. (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
11. Uniqueness for the fractional Calderòn problem with quasilocal perturbations.
SIAM Journal of Mathematical Analysis, Vol. 54, Iss. 6 (2022). pdf
12. (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
13. (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
14. (with A. Rüland) On some partial data Calderòn type problems with mixed boundary conditions.
Journal of Differential Equations, Vol. 288, 141-203 (2021). pdf
15. An inverse problem for the fractional Schrödinger equation in a magnetic field.
Inverse Problems 36, no. 4 (2020). pdf
16. Inverse problems for a fractional conductivity equation.
Nonlinear Analysis 193, special issue: Nonlocal and Fractional Phenomena, 111418 (2020). pdf
17. (with M. de Hoop and M. Salo) Propagation of singularities and inverse problems for the viscoacoustic wave equation (2026). pdf
18. (with R.-Y. Lai and L. Yan) The higher-order fractional Schrödinger equation with nonlinear local perturbations: Uniqueness (2025). pdf
19. Uniqueness for the anisotropic fractional conductivity equation (2022). pdf
20. (with J. Railo and P. Zimmermann) The global inverse fractional conductivity problem (2022). pdf
I already have published works with all the following scholars (some 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)
Antti Kujanpää (LUT University)
Ru-Yu Lai (University of Minnesota)
Matti Lassas (University of Helsinki)
Keijo Mönkkönen (University of Jyväskylä)
Jesse Railo (LUT University)
Angkana Rüland (University of Bonn)
Mikko Salo (University of Jyväskylä)
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)