4 papers
Stable recovery of a simple irreversible Finsler geometry from travel time data
Maarten V. de Hoop, Joonas Ilmavirta, Antti Kykkänen +1
We show that a simple irreversible Finsler geometry can be recovered uniquely and Lipschitz-stably from its travel time data. We introduce and use a version of Gromov--Hausdorff di…
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…
Reconstruction along a geodesic from sphere data in Finsler geometry and anisotropic elasticity
Maarten V. de Hoop, Joonas Ilmavirta, Matti Lassas
Dix formulated the inverse problem of recovering an elastic body from the measurements of wave fronts of point sources. We geometrize this problem in the context of seismology, lea…
Uniform Decaying Property of Solutions for Anisotropic Viscoelastic Systems
Maarten V. de Hoop, Ching-Lung Lin, Gen Nakamura
The paper concerns about the uniform decaying property (abbreviated by UDP) of solutions for an anisotropic viscoelastic system in the form of integrodifferential system (abbreviat…