275 citations · 1.7k across the 132 of their papers we have counts for
5 papers · 2 filters
The Light Ray transform on Lorentzian manifolds
Matti Lassas, Lauri Oksanen, Plamen Stefanov +1
We study the weighted light ray transform of integrating functions on a Lorentzian manifold over lightlike geodesics. We analyze as a Fourier Integral Operator and show tha…
Partial data inverse problems and simultaneous recovery of boundary and coefficients for semilinear elliptic equations
Matti Lassas, Tony Liimatainen, Yi-Hsuan Lin +1
We study various partial data inverse boundary value problems for the semilinear elliptic equation in a domain in by using the higher order linearizati…
Inverse problems for elliptic equations with power type nonlinearities
Matti Lassas, Tony Liimatainen, Yi-Hsuan Lin +1
We introduce a method for solving Calderón type inverse problems for semilinear equations with power type nonlinearities. The method is based on higher order linearizations, and it…
Inverse problems for heat equation and space-time fractional diffusion equation with one measurement
Tapio Helin, Matti Lassas, Lauri Ylinen +1
Given a connected compact Riemannian manifold without boundary, , we consider a space--time fractional diffusion equation with an interior source that is suppo…
Detection of Hermitian connections in wave equations with cubic non-linearity
Xi Chen, Matti Lassas, Lauri Oksanen +1
We consider the geometric non-linear inverse problem of recovering a Hermitian connection from the source-to-solution map of the cubic wave equation , wh…