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  • Research Article
  • Open Access

Applications of the poincaré inequality to extended Kantorovich method

  • 1Email author,
  • 2,
  • 3 and
  • 3
Journal of Inequalities and Applications20062006:32356

  • Received: 3 February 2005
  • Accepted: 18 April 2005
  • Published:


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.


  • Boundary Condition
  • Differential Equation
  • Partial Differential Equation
  • Mixed Boundary
  • Mixed Boundary Condition


Authors’ Affiliations

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


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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.