On Comparison Principles for Parabolic Equations with Nonlocal Boundary Conditions

  • Yuandi Wang1Email author and

    Affiliated with

    • Hamdi Zorgati2, 3

      Affiliated with

      Boundary Value Problems20072007:080929

      DOI: 10.1155/2007/80929

      Received: 5 December 2006

      Accepted: 3 May 2007

      Published: 27 May 2007

      Abstract

      A generalization of the comparison principle for a semilinear and a quasilinear parabolic equations with nonlocal boundary conditions including changing sign kernels is obtained. This generalization uses a positivity result obtained here for a parabolic problem with nonlocal boundary conditions.

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      Authors’ Affiliations

      (1)
      Department of Mathematics, Shanghai University
      (2)
      Institut für Mathematik, Universität Zürich
      (3)
      Department of Mathematics, Campus Universitaire, University of Tunis

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      Copyright

      © Y.Wang and H. Zorgati. 2007

      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.