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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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