Lauri Oksanen
I am a reader in mathematics and a member of the UCL Centre for Inverse Problems.
My preprints and publications are listed below, and also in arXiv
and ORCID.
My research interests include inverse problems for partial differential equations, in particular hyperbolic ones,
and related geometric problems such as the boundary rigidity problem and inversion of the geodesic ray transform.
My lecture notes for 2018 summer
school Inverse and Spectral Problems for (Non)Local Operators
at the Max Planck Institute for Mathematics in the Sciences in Leipzig
give an introduction to inverse problems for hyperbolic partial differential equations.
For contact information, see my
UCL IRIS Profile.
Preprints

Y. Kian, M. Morancey, and L.O. Application of the boundary control method to partial data BorgLevinson inverse spectral problem.
arXiv

M. de Hoop, P. Kepley, and L.O. Recovery of a smooth metric via wave field and coordinate transformation reconstruction.
arXiv

E. Burman, M. Nechita, and L.O. Unique continuation for the Helmholtz equation using stabilized finite element methods.
arXiv

E. Burman, M. G. Larson, and L.O. Primal dual mixed finite element methods for the elliptic Cauchy problem.
arXiv

E. Burman, J. IshHorowicz, and L.O. Fully discrete finite element data assimilation method for the heat equation.
arXiv

Y. Kurylev, M. Lassas, and L.O. Hyperbolic inverse problem with data on disjoint sets.
arXiv

Y. Kurylev, M. Lassas, L.O., and G. Uhlmann. Inverse problem for Einsteinscalar field equations.
arXiv
Publications

Y. Kian, L.O., E. Soccorsi, and M. Yamamoto. Global uniqueness in an inverse problem for time fractional diffusion equations. J. Differential Equations, 264(2):1146–1170, 2018.
doi
arXiv

M. V. de Hoop, P. Kepley, and L.O. An Exact Redatuming Procedure for the Inverse Boundary Value Problem for the Wave Equation. SIAM J. Appl. Math., 78(1):171–192, 2018.
doi
arXiv

E. Burman and L.O. Data assimilation for the heat equation using stabilized finite element methods. Numerische Mathematik (to appear), 2018. Preprint arXiv:1609.05107.
doi
arXiv

M. Lassas, L.O., P. Stefanov, and G. Uhlmann. On the inverse problem of finding cosmic strings and other topological defects. Comm. Math. Phys. (to appear), 2017. Preprint arXiv:1505.03123.
doi
arXiv

Y. Kurylev, L.O., and G. P. Paternain. Inverse problems for the connection Laplacian. J. Differential Geom. (to appear), 2017. Preprint arXiv:1509.02645.
arXiv

Y. Kian and L.O. Recovery of timedependent coefficient on Riemannian manifold for hyperbolic equations. Int. Math. Res. Not. (to appear), 2017. Preprint arXiv:1606.07243.
doi
arXiv

T. Helin, M. Lassas, L.O., and T. Saksala. Correlation based passive imaging with a white noise source. J. Math. Pures Appl. (to appear), 2017. Preprint arXiv:1609.08022.
arXiv

S. Liu and L.O. A Lipschitz stable reconstruction formula for the inverse problem for the wave equation. Trans. Amer. Math. Soc., 368(1):319–335, 2016.
doi
arXiv

M. Lassas, L.O., and Y. Yang. Determination of the spacetime from local time measurements. Math. Ann., 365(12):271–307, 2016.
doi
arXiv

J. Korpela, M. Lassas, and L.O. Regularization strategy for an inverse problem for a 1+1 dimensional wave equation. Inverse Problems, 32(6):065001, 24, 2016.
doi
arXiv

M. V. de Hoop, L.O., and J. Tittelfitz. Uniqueness for a seismic inverse source problem modeling a subsonic rupture. Comm. Partial Differential Equations, 41(12):1895–1917, 2016.
doi
arXiv

M. V. de Hoop, P. Kepley, and L.O. On the construction of virtual interior point source travel time distances from the hyperbolic NeumanntoDirichlet map. SIAM J. Appl. Math., 76(2):805–825, 2016.
doi
arXiv

O. Chervova and L.O. Time reversal method with stabilizing boundary conditions for photoacoustic tomography. Inverse Problems, 32(12):125004, 16, 2016.
doi
arXiv

L.O. and G. Uhlmann. Photoacoustic and thermoacoustic tomography with an uncertain wave speed. Math. Res. Lett., 21(5):1199–1214, 2014.
doi
arXiv

M. Lassas and L.O. Inverse problem for the Riemannian wave equation with Dirichlet data and Neumann data on disjoint sets. Duke Math. J., 163(6):1071–1103, 2014.
doi
arXiv

T. Helin, M. Lassas, and L.O. Inverse problem for the wave equation with a white noise source. Comm. Math. Phys., 332(3):933–953, 2014.
doi
arXiv

L.O. Solving an inverse obstacle problem for the wave equation by using the boundary control method. Inverse Problems, 29(3):035004, 12, 2013.
doi
arXiv

L.O. Inverse obstacle problem for the nonstationary wave equation with an unknown background. Comm. Partial Differential Equations, 38(9):1492–1518, 2013.
doi
arXiv

T. Helin, M. Lassas, and L.O. An inverse problem for the wave equation with one measurement and the pseudorandom source. Anal. PDE, 5(5):887–912, 2012.
doi
arXiv

L.O. Solving an inverse problem for the wave equation by using a minimization algorithm and timereversed measurements. Inverse Probl. Imaging, 5(3):731–744, 2011.
doi
arXiv

M. Lassas and L.O. An inverse problem for a wave equation with sources and observations on disjoint sets. Inverse Problems, 26(8):085012, 19, 2010.
doi
arXiv