Maximal Regularity and Partial Differential Equations
- September 8 (Tue) at 16:00 - 18:10, 2020 (JST)
- Ken Furukawa (Postdoctoral Researcher, Prediction Science Laboratory, RIKEN Cluster for Pioneering Research (CPR))
- via Zoom
The theory of maximal regularity is a powerful tool to get solutions having the best regularity to linear partial differential equations (PDEs) of parabolic type. The theory is also applicable to show well-posedness of various non-linear PDEs.
In the first part, We introduce the history of the development of the theory of maximal regularity and the way to apply non-linear PDEs.
In the second part, We give some applications to PDEs, e. g. the primitive equations, the Navier-Stokes equations, and elliptic equations with dynamic boundary conditions.
*Please contact Keita Mikami's mail address to get access to the Zoom meeting room.