Kyushu University Institute of Mathematics for Industry

TAKASE, Hiroshi

Assistant Professor

Researcher Information Research and Technical Catalog

The problem of identifying the cause from the result is called the inverse problem, which is an important ill-posed problem in the mathematical sciences. In addition, it is attracting attention as a tool for understanding the background of physical phenomena in detail. I study the inverse problem of determining the governing system of equations from information on the solutions of partial differential equations. In particular, I am interested in the analysis of inverse problems for hyperbolic partial differential equations using geometric analysis on pseudo-Riemannian manifolds with indefinite metrics. I would like to understand the analytical aspect of inverse problems from the viewpoint of geometry as well.

Keywords Partial Differential Equations, Inverse Problems, Geometric Analysis
Division Division of Applied Mathematics