Jyväskylä Inverse Problems Seminar
Jyväskylä Inverse Problems Seminar
The Inverse problems group at the University of Jyväskylä organizes a (roughly) weekly seminar. Please write to giovanni.g.covi@jyu.fi in order to be added to the newsletter, and never miss a seminar again!
Inverse problems are a branch of mathematics with both pure and applied aspects. In physics, engineering and other sciences, the focus usually lies in inferring effects from causes, i.e. in solving a so-called forward problem. What is inverted in an inverse problem is the causality: When we consider an inverse problem, we start with partial knowledge of the result (and perhaps of the causes), and our objective is to infer more about its causes.
The Jyväskylä Inverse Problem Seminar (JIPSem) is a series of lectures organized at the University of Jyväskylä by the Inverse Problems research group.
We discuss mainly pure mathematics. Examples include geometric inverse problems, inverse problems for PDEs, X-ray and electrical impedance tomography, and many more. Read more about our research at this webpage.
Besides our own members, we often host visiting scholars as speakers.
Time & Location: Tuesday, 12 May at 14:00, room MaD245
Speaker: Hjørdis Schlüter (University of Helsinki)
Title: Boundary determination in anisotropic elasticity
Abstract: We address the inverse problem of recovering an anisotropic stiffness tensor c and the density of mass ρ from the Dirichlet-to-Neumann map associated to the elastic wave equation, where stiffness tensor and density enter as material parameters. We show that for generic stiffness tensors the normalized stiffness tensor a = c/ρ is uniquely determined up to zero-th order by the associated Dirichlet-to-Neumann map at the boundary. This result builds on a construction of special solutions that concentrate near a boundary point and are highly oscillatory. The generic assumption is needed in order to ensure that the slowness surface, arising from the leading order behavior of the elastic wave equation, is square free. Additionally, the assumption ensures that eigenvectors corresponding to different roots in the slowness surface are linearly independent. We will address how the dimension for which the result holds is linked to the existence of one example for each dimension. This is joint work with Joonas Ilmavirta, Mikko Salo and Daniel Windisch.
Time & Location: Tuesday, 19 May at 14:00, room MaD245
Speaker: William Trad
Title: TBA
Abstract: TBA
Time & Location: Tuesday, 26 May at 14:00, room MaD245
Speaker: Lauri Ylinen
Title: TBA
Abstract: TBA
➡️ There will be no seminar on June 2. See you in Malta! ⬅️
Time & Location: Tuesday, 9 June at 14:00, room MaD245?
Speaker: Ruirui Wu (University of Washington)
Title: TBA (Fractional Maxwell equations)
Abstract: TBA
All the previous seminars and slides (when available) can be found at this page.