08-229 Tepper L Gill and Woodford W. Zachary
THE REVERSE POINCARE INEQUALITY (45K, ams-Latex) Dec 8, 08
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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.

Files: 08-229.src( 08-229.keywords , E-Norm-I.tex )