Journal of Inequalities and Applications
Volume 2006 (2006), Article ID 32356, 21 pages

Applications of the poincaré inequality to extended Kantorovich method

Der-Chen Chang,1 Tristan Nguyen,2 Gang Wang,3 and Norman M. Wereley3

1Department of Mathematics, Georgetown University, Washington DC 20057-0001, USA
2Department of Defense, Fort Meade 20755, MD, USA
3Smart Structures Laboratory, Alfred Gessow Rotorcraft Center, Department of Aerospace Engineering, University of Maryland, College Park 20742, MD, USA

Received 3 February 2005; Revised 2 March 2005; Accepted 18 April 2005

Copyright © 2006 Der-Chen Chang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We apply the Poincaré inequality to study the extended Kantorovich method that was used to construct a closed-form solution for two coupled partial differential equations with mixed boundary conditions.