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On Comparison Principles for Parabolic Equations with Nonlocal Boundary Conditions

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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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Correspondence to Yuandi Wang.

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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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Keywords

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