| 非局部初边值条件下的抛物型偏微分方程 |
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| 引用本文： | 闫丽琴,王远弟.非局部初边值条件下的抛物型偏微分方程[J].应用数学与计算数学学报,2005,19(1):1-10. |
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| 作者姓名： | 闫丽琴 王远弟 |
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| 作者单位： | 上海大学数学系,上海,200444 |
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| 摘 要： | 本文讨论在非局部初边值条件下的抛物型偏微分方程,在更为宽松的边界假设条件下讨论所构造的迭代序列的收敛速度问题.并且对非局部初值条件为离散形式的情况做了相应的讨论.
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| 关 键 词： | 上下解 非局部初边值条件 解的存在唯一性 二阶收敛 |
| 修稿时间： | 2004年10月9日 |
Parabolic Partial Differential Equations with Nonlocal Boundary and Nonlocal Initial Conditions |
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| Yan Liqin,Wang Yuandi.Parabolic Partial Differential Equations with Nonlocal Boundary and Nonlocal Initial Conditions[J].Communication on Applied Mathematics and Computation,2005,19(1):1-10. |
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| Authors: | Yan Liqin Wang Yuandi |
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| Institution: | Yan Liqin Wang Yuandi Department of Mathmatics,Shanghai University,Shanghai,200434 |
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| Abstract: | In this paper, we study nonlinear parabolic partial differential equations with nonlocal boundary and nonlocal conditions. Existence and convergence of iterative series for the equations are investigated under weaker boundary condition than before. A similiar conclusion can be obtained for discrete initial condition. |
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| Keywords: | upper and lower solutions nonolocal boundary and nolocal initial conditions the existence and uniqueness of solution second-order convergence |
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