45 citations · 238 across the 51 of their papers we have counts for
29 papers · 1 filter
Tomography of 1-forms on a gas giant
Joonas Ilmavirta, Antti Kykkänen, Eetu Satukangas
We show that on gas giant manifolds the geodesic X-ray transform is solenoidally injective on one-forms that are smooth up to the boundary in an appropriate smooth structure. A gas…
Horizontal and Vertical Regularity of Elastic Wave Geometry
Joonas Ilmavirta, Pieti Kirkkopelto, Antti Kykkänen
The elastic properties of a material are encoded in a stiffness tensor field and the propagation of elastic waves is modeled by the elastic wave equation. We characterize analytic…
Geometric inverse problems on gas giants
Maarten V. de Hoop, Joonas Ilmavirta, Antti Kykkänen +1
On gas giant planets the speed of sound is isotropic and goes to zero at the surface. Geometrically, this corresponds to a Riemannian manifold whose metric tensor has a conformal b…
Reconstruction of anisotropic stiffness tensors from partial data around one polarization
Maarten V. de Hoop, Joonas Ilmavirta, Matti Lassas +1
We study inverse problems in anisotropic elasticity using tools from algebraic geometry. The singularities of solutions to the elastic wave equation in dimension with an anisot…
Tensor tomography on negatively curved manifolds of low regularity
Joonas Ilmavirta, Antti Kykkänen
We prove solenoidal injectivity for the geodesic X-ray transform of tensor fields on simple Riemannian manifolds with metrics and non-positive sectional curvature. The pr…
Three travel time inverse problems on simple Riemannian manifolds
Joonas Ilmavirta, Boya Liu, Teemu Saksala
We provide new proofs based on the Myers-Steenrod theorem to confirm that travel time data, travel time difference data and the broken scattering relations determine a simple Riema…