Monday Analysis Seminar: Weighted $L^\infty$-estimates for some Neumann problem

2014-12-15 14:45 - 2014-12-15 16:15
Faculty of Science Buliding #3 Room 210
Ken Abe (Nagoya University)
We consider weighted $L^{\infty}$-estimates for some Neumann problem of the Laplace equations, where the weight is a distance from the boundary. The weighted estimate of the Neumann problem holds for bounded and exterior domains, and plays an important role for studying the Navier-Stokes equations. In this talk, we show some Holder-type estimates for Holder continuous boundary data. This talk is based on a joint work with Professor Yoshikazu Giga (U. Tokyo).