| 一类非线性抛物方程初边值问题的奇摄动 |
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| 引用本文： | 柴岩,沈连山.一类非线性抛物方程初边值问题的奇摄动[J].辽宁工程技术大学学报(自然科学版),1999,18(4):437-441. |
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| 作者姓名： | 柴岩 沈连山 |
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| 作者单位： | [1]辽宁工程技术大学 [2]大连大学 |
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| 摘 要： | 研究一类半线性轴对称形式的抛物型偏微分方程混合问题的奇摄动。运用边界层校正法，在适当条件下给出了解的渐近展开式，运用比较定理证明了解的渐近有效性。
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| 关 键 词： | 奇摄动 比较定理 非线性抛物方程 初边值问题 |
A Singularly Perturbed Znitial-Boundary Value Proles for a Class of Nonlinear Parabolic Equation |
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| Chai yan, Shen Lianshan, Xu Hong.A Singularly Perturbed Znitial-Boundary Value Proles for a Class of Nonlinear Parabolic Equation[J].Journal of Liaoning Technical University (Natural Science Edition),1999,18(4):437-441. |
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| Authors: | Chai yan Shen Lianshan Xu Hong |
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| Abstract: | In this paper,a class of semilinear parabolic equation of mixed type with radial symmetric singularlyperturbed problem is studied,moking use of the method of boundary layer correction,an asymptotic solution of theproblem with cortanly condition is obtained And the comparison theory proves the uniform validity of asymptolicsolution. |
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| Keywords: | semilinear parabolic differential equation singulary pertarbed comparison theory |
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