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Applications of the poincaré inequality to extended Kantorovich method

Journal of Inequalities and Applications volume 2006, Article number: 32356 (2006) Cite this article

Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Georgetown University, Washington, DC, 20057-0001, USA

    Der-Chen Chang

  2. Department of Defense, Fort Meade, MD, 20755, USA

    Tristan Nguyen

  3. Smart Structures Laboratory, Alfred Gessow Rotorcraft Center, Department of Aerospace Engineering, University of Maryland, College Park, MD, 20742, USA

    Gang Wang & Norman M. Wereley

Authors
  1. Der-Chen Chang
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  2. Tristan Nguyen
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  3. Gang Wang
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  4. Norman M. Wereley
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Corresponding author

Correspondence to Der-Chen Chang.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Chang, DC., Nguyen, T., Wang, G. et al. Applications of the poincaré inequality to extended Kantorovich method. J Inequal Appl 2006, 32356 (2006). https://doi.org/10.1155/JIA/2006/32356

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  • DOI: https://doi.org/10.1155/JIA/2006/32356

Keywords

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