| 无界区域上一类非线性方程的广义Dirichlet问题 |
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| 引用本文： | 索秀云 任艳霞. 无界区域上一类非线性方程的广义Dirichlet问题[J]. 河北师范大学学报(自然科学版), 1996, 20(1): 1-5 |
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| 作者姓名： | 索秀云 任艳霞 |
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| 作者单位： | 河北机电学院基础部 |
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| 摘 要： | 利用概率方法研究无穷区域上一类非线性方程的广义Ｄｉｒｉｃｈｌｅｔ问题，在一定条件下，证明其有界解的存在唯一性。
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| 关 键 词： | 正规点 布朗运动 非线性方程 狄利克雷问题 |
Generalized Dirichlet Problem for a Class of Nonlinear Equation on Unbounded Domain |
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| Suo Xiuyun, Ren Yanxia. Generalized Dirichlet Problem for a Class of Nonlinear Equation on Unbounded Domain[J]. Journal of Hebei Normal University, 1996, 20(1): 1-5 |
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| Authors: | Suo Xiuyun Ren Yanxia |
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| Abstract: | In this paper,we discuss the generalized Dirichlet problem for a class of nonlinear equations on unbounded domain by using probabilistic methods. Under certain conditions,we prove that the bounded solution to the Problem exists and is unique. |
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| Keywords: | Brownian motion generalized Dirichlet problem regular point essentially bounded and continuous function |
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