275 citations · 1.7k across the 132 of their papers we have counts for
7 papers · 1 filter
Determination of a Riemannian manifold from the distance difference functions
Matti Lassas, Teemu Saksala
Let be a Riemannian manifold with the distance function and an open subset . For we denote by the distance difference function $D_x:F\ti…
Regularization strategy for inverse problem for 1+1 dimensional wave equation
Jussi Korpela, Matti Lassas, Lauri Oksanen
An inverse boundary value problem for a 1+1 dimensional wave equation with wave speed is considered. We give a regularisation strategy for inverting the map $\mathcal A:c\ma…
The blow-up of electromagnetic fields in 3-dimensional invisibility cloaking for Maxwell's equations
Matti Lassas, Ting Zhou
Transformation optics constructions have allowed the design of cloaking devices that steer electromagnetic, acoustic and quantum waves around a region without penetrating it, so th…
Reconstruction and interpolation of manifolds I: The geometric Whitney problem
Charles Fefferman, Sergei Ivanov, Yaroslav Kurylev +2
We study the geometric Whitney problem on how a Riemannian manifold can be constructed to approximate a metric space . This problem is closely related to manifold…
Posterior consistency and convergence rates for Bayesian inversion with hypoelliptic operators
Hanne Kekkonen, Matti Lassas, Samuli Siltanen
Bayesian approach to inverse problems is studied in the case where the forward map is a linear hypoelliptic pseudodifferential operator and measurement error is additive white Gaus…
Stability of the unique continuation for the wave operator via Tataru inequality and applications
Roberta Bosi, Yaroslav Kurylev, Matti Lassas
In this paper we study the stability of the unique continuation in the case of the wave equation with variable coefficients independent of time. We prove a logarithmic estimate in…