| BOUNDARY LAYER ESTIMATION OF NONLINEAR ELLIPTIC EQUATION |
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| 作者姓名： | HE Cheng ZHANG WeItao |
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| 作者单位： | Institute of Systems Science，Academia Silica，Beijing 100080，China |
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| 摘 要： | ＢＯＵＮＤＡＲＹＬＡＹＥＲＥＳＴＩＭＡＴＩＯＮＯＦＮＯＮＬＩＮＥＡＲＥＬＬＩＰＴＩＣＥＱＵＡＴＩＯＮＨＥＣｈｅｎｇ；ＺＨＡＮＧＷｅＩｔａｏ（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅ，ＡｃａｄｅｍｉａＳｉｌｉｃａ，Ｂｅｉｊｉｎｇ１０００８０，...
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BOUNDARY LAYER ESTIMATION OF NONLINEAR ELLIPTIC EQUATION |
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| HE Cheng, ZHANG WeItao.BOUNDARY LAYER ESTIMATION OF NONLINEAR ELLIPTIC EQUATION[J].Journal of Systems Science and Complexity,1995(1). |
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| Authors: | HE Cheng ZHANG WeItao |
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| Abstract: | In this paper, we consider the nonlinear elliptic equation The limit problem is where, for;ands, for.Let d(x,) be the distance from to, let denote the measure of, and let When we have the following boundary layer estimates for problem (1).i) In the regular region when, we have ii) In the region of increasing singularity when the, we have iii) In the region of stable singularity when, we have where .In this paper, C denotes a constant independent of.iv)For the nonlinear elliptic singularity perturbation problem of second order, we obtain a similar conclusion. |
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| Keywords: | Nonlinear singular perturbation boundary layer estimation Tartar's inequality |
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