| 二阶非线性抛物型偏微分方程初边值问题的奇摄动 |
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| 引用本文： | 汪用征. 二阶非线性抛物型偏微分方程初边值问题的奇摄动[J]. 辽宁大学学报(自然科学版), 1995, 22(1): 19-28 |
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| 作者姓名： | 汪用征 |
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| 作者单位： | 安徽省芜湖师专 |
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| 摘 要： | 本文讨论一类二阶非线性抛物型偏微分方程初边值问题的奇摄动解法，设Ｌεｕ＝δｕ／δｔ－〔εΣ↑ｎ↓ｉｊ＝１δｉｊ（ｘ，ｔ）δ＾２ｕ／δｘｉδｘｊ＋Σ↑ｎ↓ｉ＝１ｂｉ（ｘ，ｔ）δｕ／δｘｉ＋Ｃ（ｘ，ｔ，ｕ）〕＝０ ｕ（ｘ，ｔ，ε）│ｔ＝０＝ｕ（ｘ，０，ｔ）＝μ（ｘ，ε），ｘ∈Ｂ↑－ ｕ（ｘ，ｔ，ε）│ｓ＝ｈ（ｘ，ｔ，ε）│ｓ（ｘ，ｔ）∈Ｓ其中ε〉０是小参数，给出了上述问题的解的渐近展开式。利用比较定理
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| 关 键 词： | 非线性 奇摄动 比较定理 抛物型方程 初边值问题 |
Singularly Perturbed Initl Boundary ValueProblems for Second Order Nonlinear ParabolicPartial Differential Equations |
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| Wang YongzhengAnhui Wuhu Teacher Normal College. Singularly Perturbed Initl Boundary ValueProblems for Second Order Nonlinear ParabolicPartial Differential Equations[J]. Journal of Liaoning University(Natural Sciences Edition), 1995, 22(1): 19-28 |
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| Authors: | Wang YongzhengAnhui Wuhu Teacher Normal College |
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| Affiliation: | Wang YongzhengAnhui Wuhu Teacher Normal College |
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| Abstract: | Singular perturbation for a class of initial boundary value problemsof second order semilinear parabolic equations is studied, asymptotic expansions so-lutions of the equations are given and use comparison theorem proved uniformlyvalid asymptotic expansions of the solutions. |
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| Keywords: | Semilinear Singular perturbation Uniformly valid asymptotic exexpansion Comparison theorem. |
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