Mathematical analysis, Inverse problem, Boundary, Cloaking and Boundary value problem are his primary areas of study. The various areas that Matti Lassas examines in his Mathematical analysis study include Electrical impedance tomography, Inverse and Conductivity. His work deals with themes such as Surface and Anisotropy, which intersect with Conductivity.
His Inverse problem research incorporates elements of Tomography, Prior probability, Bayesian probability and Applied mathematics. His research in Boundary intersects with topics in Riemannian manifold, Riemann curvature tensor, Geometry and Domain. His Cloaking research is multidisciplinary, incorporating perspectives in Helmholtz equation, Wave propagation, Cylinder, Maxwell's equations and Near and far field.
His scientific interests lie mostly in Mathematical analysis, Inverse problem, Boundary, Riemannian manifold and Inverse. His study in Boundary value problem, Domain, Inverse scattering problem, Geodesic and Manifold is carried out as part of his studies in Mathematical analysis. Matti Lassas has researched Boundary value problem in several fields, including Regularization and Partial differential equation.
His Inverse problem research is multidisciplinary, relying on both Mathematical physics, Wave equation, Artificial intelligence, Applied mathematics and Nonlinear system. As a part of the same scientific family, Matti Lassas mostly works in the field of Boundary, focusing on Isotropy and, on occasion, Conductivity. His Riemannian manifold study combines topics in areas such as Closed manifold, Pseudo-Riemannian manifold, Isometry and Combinatorics.
His primary scientific interests are in Inverse problem, Mathematical analysis, Manifold, Boundary and Riemannian manifold. His studies deal with areas such as Pure mathematics, Applied mathematics, Euclidean geometry, Artificial intelligence and Nonlinear system as well as Inverse problem. The study of Mathematical analysis is intertwined with the study of Scattering in a number of ways.
Matti Lassas combines subjects such as Bounded function, Inverse and Finsler manifold with his study of Boundary. His Inverse research includes themes of Differential topology and Boundary value problem. His biological study spans a wide range of topics, including Fractional part, Combinatorics, Heat equation and Wave equation.
Matti Lassas spends much of his time researching Inverse problem, Manifold, Riemannian manifold, Nonlinear system and Boundary. To a larger extent, Matti Lassas studies Mathematical analysis with the aim of understanding Inverse problem. His work in Mathematical analysis is not limited to one particular discipline; it also encompasses Inverse.
His Riemannian manifold research includes elements of Metric, Wave equation and Combinatorics. His research investigates the connection between Nonlinear system and topics such as Applied mathematics that intersect with problems in Euclidean geometry, Conformal map, Simple, Linear equation and Hyperbolic partial differential equation. His Boundary research is multidisciplinary, incorporating perspectives in Poisson distribution, Embedding, Space and Isometry.
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On nonuniqueness for Calderón’s inverse problem
Allan Greenleaf;Matti Lassas;Gunther Uhlmann.
Mathematical Research Letters (2003)
Inverse Boundary Spectral Problems
Alexander P. Katchalov;Yaroslav V. Kurylev;Matti Lassas.
(2001)
Anisotropic conductivities that cannot be detected by EIT.
Allan Greenleaf;Matti Lassas;Gunther Uhlmann.
Physiological Measurement (2003)
Electromagnetic wormholes and virtual magnetic monopoles from metamaterials.
Allan Greenleaf;Yaroslav Kurylev;Matti Lassas;Gunther Uhlmann.
Physical Review Letters (2007)
Full-Wave Invisibility of Active Devices at All Frequencies
Allan Greenleaf;Yaroslav V. Kurylev;Matti Lassas;Gunther Uhlmann.
Communications in Mathematical Physics (2007)
Cloaking Devices, Electromagnetic Wormholes, and Transformation Optics
Allan Greenleaf;Yaroslav Kurylev;Matti Lassas;Gunther Uhlmann.
Siam Review (2009)
Calderóns' Inverse Problem for Anisotropic Conductivity in the Plane
Kari Astala;Lassi Päivärinta;Matti Lassas.
Communications in Partial Differential Equations (2005)
Statistical inversion for medical x-ray tomography with few radiographs: I. General theory
S Siltanen;V Kolehmainen;S Järvenpää;J P Kaipio.
Physics in Medicine and Biology (2003)
On the existence and convergence of the solution of PML equations
Matti Lassas;Erkki Somersalo.
Computing (1998)
On determining a Riemannian manifold from the Dirichlet-to-Neumann map
Matti Lassas;A. N. D. Gunther Uhlmann.
Annales Scientifiques De L Ecole Normale Superieure (2001)
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