| 一类拟线性抛物型方程的非局部边值问题 |
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| 引用本文： | 周长亮,王远弟.一类拟线性抛物型方程的非局部边值问题[J].上海大学学报(自然科学版),2011,17(5):606-613. |
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| 作者姓名： | 周长亮 王远弟 |
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| 作者单位： | 上海大学 理学院，上海 200444 |
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| 基金项目： | 国家自然科学基金资助项目(10671118,10572080); 上海市教委重点学科建设资助项目(J50101) |
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| 摘 要： | 讨论非局部边界条件下一类具有非退化拟线性抛物型偏微分方程解的性质，通过运用上、下解和单调迭代的方法,得到抛物型问题解的存在唯一性以及椭圆问题最大、最小解的存在性.同时，还得到发展方程解对平衡解的渐近性态.
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| 关 键 词： | 非局部边界问题 渐近性 拟线性抛物型 上解 下解 |
| 收稿时间： | 2010-01-22 |
A Class of Quasi-linear Parabolic Equations with Nonlocal Boundary Problem |
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| ZHOU Chang-liang,WANG Yuan-di.A Class of Quasi-linear Parabolic Equations with Nonlocal Boundary Problem[J].Journal of Shanghai University(Natural Science),2011,17(5):606-613. |
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| Authors: | ZHOU Chang-liang WANG Yuan-di |
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| Affiliation: | College of Sciences, Shanghai University, Shanghai 200444, China |
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| Abstract: | This paper concerns a class of quasi-linear parabolic and elliptic partial differential equations in a bounded domain with nonlocal boundary conditions.The equations under consideration are non-degenerate depending on the property of the diffusion coefficient.By using the upper and lower solutions and monotone iteration,the aim of the paper is to show existence and uniqueness of solutions for the time-dependent problem,existence of maximal and minimal steady-state solutions of the elliptic problem,and the a... |
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| Keywords: | quasi-linear parabolic upper solution lower solution asymptotic behavior nonlocal boundary problem |
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