Tepper L Gill and Woodford W. Zachary
THE REVERSE POINCARE INEQUALITY
(45K, ams-Latex)

ABSTRACT.  In this paper we show that, by the use of an equivalent 
norm, one can make unbounded linear operators exhibit the one of the 
most important properties of bounded operators without using the graph 
norm. We apply the results to obtain an interesting extension of the 
Poincare inequality. As an application, we obtain a strong inequality 
for the nonlinear term in the Navier-Stokes equation.