分野別セミナー

We discuss smoothing estimates for velocity averages of the solution to the kinetic transport equation using hyperbolic Sobolev spaces. The desired estimates will be shown to be equivalent to certain mixed-norm estimates for a Fourier multiplier operator associated with the cone. Such multiplier estimates have a tight relationship with Strichartz estimates for the wave equation. In this talk, we discuss these connections with an emphasis on a certain critical case. Based on joint work with Jonathan Bennett, Jayson Cunanan, Susana Gutierrez and Sanghyuk Lee.

リンク：セミナーHP
　　　　福岡大学セミナーハウスへのアクセス