Inverse Problems Group - Publications

Monographs

A. Katchalov, Y. Kurylev, M. Lassas: Inverse Boundary Spectral Problems, Monographs and Surveys in Pure and Applied Mathematics 123, Chapman Hall/CRC-press, 2001, xi+290 pp.

Selected publications in refereed journals

Petri Ola and Lassi Päivärinta: Mellin operators and pseudodifferential operators on graphs. Waves in Random Media, volume 14, issue 1, (2003)129 - 142.

Lassi Päivärinta, Alexander Panchenko and Gunther Uhlmann: The Dirichlet-to Neumann map determines a $H^3/2$ ­ conductivity. Revista Iberoamericana Mathematica 19 (2003), 57 - 72.

L. Päivärinta and V. Serov, An n-dimensional Borg-Levinson theorem for singular potentials, Advances in Applied Mathematics 29 (2002) 509-520.

Mats Gyllenberg, Andrej Ossipov and Lassi Päivärinta: The inverse problem of linear age-structured population dynamics. Journal of Evolution Equations, 2 (2002), 223-239. [article in pdf]

M. Cheney, D. Isaacson and M. Lassas: Optimal acoustic measurements, SIAM J. Appl. Math. 61 (2001), no. 5, 1628--1647.

Y. Kurylev, M. Lassas: Gelf'and Inverse Problem for a Quadratic Operator Pensil. J. Funct. Anal. , 176(2000), 247-263.

M. Lassas: Inverse boundary spectral problem for non-selfadjoint Maxwell's equations with incomplete data. Comm. Partial Differential Equations 23 (1998), 629--648.

M. Lassas, J. Liukkonen, E. Somersalo: Complex Riemannian metric and absorbing boundary condition, J. Math. Pures Appl. (9) 80 (2001), no. 7, 739--768.

M. Lassas and G. Uhlmann: Determining Riemannian manifold from boundary measurements. Ann. Sci. École Norm. Sup. (4) 34 (2001), no. 5, 771--787.

P. Ylä-Oijala, M. Taskinen and J. Sarvas: A combined scattering matrix and boundary integral equation method for the analysis and field computation in 3D multi-port waveguide discontinuities, Electromagnetics, accepted for publication, 2002.

P. Ylä-Oijala, M. Taskinen and J. Sarvas: Multilayered Media Green's Functions for MPIE with General Electric and Magnetic Source by the Hertz Potential Approach, Progress in Electromagnetic Research, PIER 33, pp. 141-165, 2001.

Theses