一类非线性抛物方程的单调方法

侯志彬;佟慧;王娴;何震;

数学学报 ›› 2009 ›› Issue (02) : 23-30.

数学学报 ›› 2009 ›› Issue (02) : 23-30. DOI: 10.12386/A2009sxxb0027
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一类非线性抛物方程的单调方法

    侯志彬;佟慧;王娴;何震;
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Monotonicity Methods for a Class of Nonlinear Parabolic Equation

    Zhi Bin HOU Hui TONG Xian WANG Zhen HE College of Mathematics and computer,Hebei University,Baoding 071002,P.R.China
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摘要

研究极大单调映射的伪单调扰动理论,并且给出一类包含p-拉普拉斯算子的发展方程解的存在条件.此条件与以前所给相关条件相比有很大改进,存在性条件得到了简化.

Abstract

We study the theory of pseudo-monotone perturbations of maximal monotone mappings and give existence conditions of solutions for a class of evolution equations involving p-Laplacian operators,which is much more simple and weaker than the conditions given in some previous relevant results.

关键词

非线性抛物方程 / 周期解 / p-拉普拉斯算子

Key words

nonlinear parabolic equations / periodic solutions / p-laplacian operators

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侯志彬;佟慧;王娴;何震;. 一类非线性抛物方程的单调方法. 数学学报, 2009(02): 23-30 https://doi.org/10.12386/A2009sxxb0027
Zhi Bin HOU Hui TONG Xian WANG Zhen HE College of Mathematics and computer,Hebei University,Baoding 071002,P.R.China. Monotonicity Methods for a Class of Nonlinear Parabolic Equation. Acta Mathematica Sinica, Chinese Series, 2009(02): 23-30 https://doi.org/10.12386/A2009sxxb0027

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