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非局部初边值条件下的抛物型偏微分方程 被引量：2

Parabolic Partial Differential Equations with Nonlocal Boundary and Nonlocal Initial Conditions
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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. 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.
作者 闫丽琴 王远弟
机构地区 上海大学数学系
出处 《应用数学与计算数学学报》 2005年第1期1-10,共10页 Communication on Applied Mathematics and Computation
关键词 非局部初边值条件 抛物型偏微分方程 二阶收敛 上下解 upper and lower solutions, nonolocal boundary and nolocal initial conditions, the existence and uniqueness of solution, second-order convergence
分类号 O175.26 [理学—基础数学]
  • 相关文献

参考文献11

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  • 2Deng, K. Comparision principle for some nonlocal problems. Quart. Appl. Math., 1992, 50:517～522.
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同被引文献4

  • 1Wang Rongnian, Xiao Tijun, Liang Jin. A comparison principle for non-local coupled systems of fully non-linear parabolic equations[J]. Applied Mathematics Letters, January 2006.
  • 2Day W.A. Extension of a property of the heat equation to linear thermoelasticity and other theories[J]. Quart. Appl. Math., 1982, 40: 319-330.
  • 3Day W.A. A decreasing property of solutions of parabolic equations with applications to thermoelasticity[J]. Quart. Appl. Math., 1983, 40: 468-475.
  • 4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):21-30. 被引量：3

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应用数学与计算数学学报
2005年 第1期

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