Open Access

Applications of the poincaré inequality to extended Kantorovich method

  • Der-Chen Chang1Email author,
  • Tristan Nguyen2,
  • Gang Wang3 and
  • Norman M. Wereley3
Journal of Inequalities and Applications20062006:32356

DOI: 10.1155/JIA/2006/32356

Received: 3 February 2005

Accepted: 18 April 2005

Published: 1 March 2006


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.


Authors’ Affiliations

Department of Mathematics, Georgetown University
Department of Defense
Smart Structures Laboratory, Alfred Gessow Rotorcraft Center, Department of Aerospace Engineering, University of Maryland


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© Chang et al. 2006

This article is published under license to BioMed Central Ltd. 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.