| A CLASS OF NONLINEAR NONLOCAL SINGULARLY PERTURBED PROBLEMS FOR ELLIPTIC EQUATION WITH BOUNDARY PERTURBATION |
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| 作者姓名： | 莫嘉琪 |
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| 作者单位： | Dept. of |
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| 基金项目： | SupportedbyimportantstudyprojectoftheNationalNaturalScienceFoundationofChina(No.90211004). |
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| 摘 要： | A class of nonlinear nonlocal singularly perturbed boundary value problems for elliptic equation with boundary perturbation is considered. Under suitable conditions, firstly, the outer solution of the original problem is obtained, secondly, using the stretched variable, the composing expansion method and the expanding theory of power series, the boundary layer is constructed, finally, using the theory of differential inequalities the asymptotic behavior of solution for the boundary value problems is studied and educing some relational inequalities the existence and uniqueness of solution for the original problem and the uniformly valid asymptotic estimation is discussed.
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| 关 键 词： | 非线性 椭圆方程 奇异性摄动 近似法 渐进扩展 |
A CLASS OF NONLINEAR NONLOCAL SINGULARLY PERTURBED PROBLEMS FOR ELLIPTIC EQUATION WITH BOUNDARY PERTURBATION |
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| Mo Jiaqi.A CLASS OF NONLINEAR NONLOCAL SINGULARLY PERTURBED PROBLEMS FOR ELLIPTIC EQUATION WITH BOUNDARY PERTURBATION[J].微分方程年刊(英文版),2004,20(4):396-401. |
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| Authors: | Mo Jiaqi |
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| Institution: | Dept.ofMath.,AnhuiNormalUniversity,Wuhu241000 |
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| Abstract: | A class of nonlinear nonlocal singularly perturbed boundary value problems for elliptic equation with boundary perturbation is considered. Under suitable conditions, firstly, the outer solution of the original problem is obtained, secondly, using the stretched variable, the composing expansion method and the expanding theory of power series, the boundary layer is constructed, finally, using the theory of differential inequalities the asymptotic behavior of solution for the boundary value problems is studied and educing some relational inequalities the existence and uniqueness of solution for the original problem and the uniformly valid asymptotic estimation is discussed. |
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| Keywords: | nonlinear elliptic equation singular perturbation |
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