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  • Research Article
  • Open Access

On Comparison Principles for Parabolic Equations with Nonlocal Boundary Conditions

Boundary Value Problems20072007:080929

https://doi.org/10.1155/2007/80929

  • Received: 5 December 2006
  • Accepted: 3 May 2007
  • Published:

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.

Keywords

  • Boundary Condition
  • Differential Equation
  • Positivity Result
  • Partial Differential Equation
  • Ordinary Differential Equation

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Authors’ Affiliations

(1)
Department of Mathematics, Shanghai University, Shanghai, 200444, China
(2)
Institut für Mathematik, Universität Zürich, Winterthurerstr. 190, Zürich, CH-8057, Switzerland
(3)
Department of Mathematics, Campus Universitaire, University of Tunis, Elmanar, 2092, Tunisia

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