| 一类高阶半线性椭圆型方程奇摄动广义边值问题 |
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| 引用本文： | 莫嘉琪.一类高阶半线性椭圆型方程奇摄动广义边值问题[J].应用数学学报,2005,28(4):616-621. |
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| 作者姓名： | 莫嘉琪 |
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| 作者单位： | 湖州师范学院数学系,湖州,313000 |
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| 基金项目： | 国家自然科学基金(90111011号和10471039号)
国家重点基础研究发展计划(2003CB415101-03号和2004CB418304号)
中国科学院重大创新(KZCX3-SW-221号)
浙江省自然科学基金(Y604127号)资助项目 |
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| 摘 要： | 讨论了半线性椭圆型方程奇摄动广义边值问题.在适当的条件下研究了对应的边值问题广义解的存在唯一性及其渐近性态.
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| 关 键 词： | 椭圆型方程 奇异摄动 广义解 |
| 收稿时间： | 2002-01-08 |
| 修稿时间： | 2002-01-082005-03-14 |
A CLASS OF SINGULARLY PERTURBED GENERALIZED BOUNDARY VALUE PROBLEMS FOR SEMILINEAR ELLIPTIC EQUATION OF HIGHER ORDER |
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| MO JIAQI.A CLASS OF SINGULARLY PERTURBED GENERALIZED BOUNDARY VALUE PROBLEMS FOR SEMILINEAR ELLIPTIC EQUATION OF HIGHER ORDER[J].Acta Mathematicae Applicatae Sinica,2005,28(4):616-621. |
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| Authors: | MO JIAQI |
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| Institution: | Department of Mathematics, Huzhou Teachers College, Huzhou 313000 |
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| Abstract: | The singularly perturbed generalized boundary value problems for the semi- linear elliptic equation of higher order are considered.Under suitable conditions and the existence,uniqueness and asymptotic behavior of generalized solution for the boundary value problems are studied. |
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| Keywords: | elliptic equation singular perturbation generalized solution |
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