Maximal Regularity and Partial Differential Equations
- 2020年9月8日(火)16:00 - 18:10 (JST)
- 古川 賢 (理化学研究所 開拓研究本部 (CPR) 三好予測科学研究室 特別研究員)
- 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.