On a comparison theorem for parabolic equations with nonlinear boundary conditions

Kosuke Kita*, Mitsuharu Ôtani

*この研究の対応する著者

研究成果: Article査読

1 被引用数 (Scopus)

抄録

In this article, a new type of comparison theorem for some second-order nonlinear parabolic systems with nonlinear boundary conditions is given, which can cover classical linear boundary conditions, such as the homogeneous Dirichlet or Neumann boundary condition. The advantage of our comparison theorem over the classical ones lies in the fact that it enables us to compare two solutions satisfying different types of boundary conditions. As an application of our comparison theorem, we can give some new results on the existence of blow-up solutions of some parabolic equations and systems with nonlinear boundary conditions.

本文言語English
ページ(範囲)1165-1181
ページ数17
ジャーナルAdvances in Nonlinear Analysis
11
1
DOI
出版ステータスPublished - 2022 1月 1

ASJC Scopus subject areas

  • 分析

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