Resolvent Estimates in L^p for the Stokes Operator in Lipschitz Domains

Date:
-
Location:
POT 745
Speaker(s) / Presenter(s):
Zhongwei Shen, University of Kentucky

In this talk I will describe some of my recent work on the resolvent estimates in L^p for the Stokes operator in Lipschitz domains. The results, in particular, imply that the Stokes operator in a three-dimensional Lipschitz domain generates a bounded analytic semigroup in L^p for p between 3 and 3/2. This gives an altermative answer to a conjecture of Michael Taylor.

Event Series:
Analysis and PDE Seminar