| 夹逼准则与抛物型偏微分方程的上下解方法 |
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| 引用本文： | 黄甬穗.夹逼准则与抛物型偏微分方程的上下解方法[J].安徽职业技术学院学报,2008,7(4):15-19. |
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| 作者姓名： | 黄甬穗 |
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| 作者单位： | 泉州经贸职业技术学院,福建,泉州,362000 |
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| 摘 要： | 文章把极限的夹逼准则思想应用到抛物型偏微分方程，通过引进上下解，构造出一串单调非增的上解序列和一串单调非减的下解序列，证明了半线性抛物型偏微分方程初边值问题解存在的唯一性。
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| 关 键 词： | 夹逼 半线性 抛物型 上下解 爆炸 |
The Squeeze Theorem and the Upper-lower Solution Methods for Parabolic Partial Defferential Equation |
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| HUANG Yong-sui.The Squeeze Theorem and the Upper-lower Solution Methods for Parabolic Partial Defferential Equation[J].Journal of Anhui Vocationcal Technical College,2008,7(4):15-19. |
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| Authors: | HUANG Yong-sui |
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| Abstract: | The paper applies the criteria for limit squeezing principle to parabolic partial differential equations.Through the introduction of upper and lower solution,a string of non-monotonous sequence of solution and a string of non-monotonous solution by the next sequence are constructed,which proves the unique existence of the solution of semi-linear parabolic partial differential equation boundary value problems. |
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| Keywords: | sqeezing principle semi-linear parabolic type upper and lower solutions explosion |
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