| 非局部边界条件下的抛物型偏微分方程组 |
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| 引用本文： | 张正林,王远弟. 非局部边界条件下的抛物型偏微分方程组[J]. 应用数学与计算数学学报, 2008, 22(1) |
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| 作者姓名： | 张正林 王远弟 |
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| 作者单位： | 上海大学理学院数学系,上海,200444 |
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| 摘 要： | 本文首先讨论了一个非局部边界条件下的抛物型偏微分方程组,通过一个变量替换,使得在更宽松的边界假设条件下证明了解的存在唯一性;然后讨论了一个完全非线性的抛物型方程组,同样,通过变量替换证明了比较原理.
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| 关 键 词： | 上下解 非局部边界条件 解的存在唯一性 拟单调 比较原理 非局部 边界条件 抛物型方程组 偏微分方程组 Boundary Conditions Systems Partial Differential Equation 比较原理 换证 变量替换 完全非线性 存在唯一性 假设 |
Parabolic Partial Differential Equation Systems with Non-local Boundary Conditions |
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| Zhang Zhenglin,Wang Yuandi. Parabolic Partial Differential Equation Systems with Non-local Boundary Conditions[J]. Communication on Applied Mathematics and Computation, 2008, 22(1) |
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| Authors: | Zhang Zhenglin Wang Yuandi |
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| Affiliation: | Zhang Zhenglin~1 Wang Yu,i~1 Department of Mathematics,Shanghai University,Shanghai 200444,China |
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| Abstract: | In this paper,a non-linear parabolic partial differential equation system with non-local boundary conditions is investigated.By using variables transformation, it follows the existence and uniqueness of the solutions under weaker assumption on boundary conditions than before;and it also proves the comparison principle for a fully non-linear parabolic equation system. |
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| Keywords: | upper and lower solutions non-local boundary conditions the existence and uniqueness of solution quasi-monotone comparison principle |
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