275 citations · 1.7k across the 132 of their papers we have counts for
5 papers · 2 filters
Well-posedness of the stochastic time-fractional diffusion and wave equations and inverse random source problems
Matti Lassas, Zhiyuan Li, Zhidong Zhang
In this paper, we are concerned with the stochastic time-fractional diffusion-wave equations in a Hilbert space. The main objective of this paper is to establish properties of the…
Retrieving Yang--Mills--Higgs fields in Minkowski space from active local measurements
Xi Chen, Matti Lassas, Lauri Oksanen +1
We show that we can retrieve a Yang--Mills potential and a Higgs field (up to gauge) from source-to-solution type data associated with the classical Yang--Mills--Higgs equations in…
An inverse problem for a semi-linear wave equation: a numerical study
Matti Lassas, Tony Liimatainen, Leyter Potenciano-Machado +1
We consider an inverse problem of recovering a potential associated to a semi-linear wave equation with a quadratic nonlinearity in dimensions. We develop a numerical schem…
An inverse problem for the Riemannian minimal surface equation
Cătălin I. Cârstea, Matti Lassas, Tony Liimatainen +1
In this paper we consider determining a minimal surface embedded in a Riemannian manifold . We show that if is a two dimensional Riemannian manifold with bo…
Quantitative unique continuation for the elasticity system with application to the kinematic inverse rupture problem
Maarten V. de Hoop, Matti Lassas, Jinpeng Lu +1
We obtain explicit estimates on the stability of the unique continuation for a linear system of hyperbolic equations. In particular our result applies to the elasticity system and…