| 一类边界退缩的线性椭圆型方程解的内估计 |
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| 引用本文： | 丁时进.一类边界退缩的线性椭圆型方程解的内估计[J].湖南师范大学自然科学学报,1987(3). |
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| 作者姓名： | 丁时进 |
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| 作者单位： | 湖南师范大学数学系 |
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| 摘 要： | 本文首先证明了一类新的内插不等式,然后由此证得一类边界退缩的线性椭圆型方程古典解的Schauder内估计,推广了吉耳巴格等人的结果。
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| 关 键 词： | 边值问题 蜕化椭圆型方程 线性椭圆型方程 内插法 估计 |
INTERIOR ESTIMATES FOR THE CLASSICAL SOLUTIONS OF A CLASS OF LINEAR ELLIPTIC EQUATIONS DEGENERATED ON BOUNDARY |
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| Ding Shijin.INTERIOR ESTIMATES FOR THE CLASSICAL SOLUTIONS OF A CLASS OF LINEAR ELLIPTIC EQUATIONS DEGENERATED ON BOUNDARY[J].Journal of Natural Science of Hunan Normal University,1987(3). |
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| Authors: | Ding Shijin |
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| Institution: | Ding Shijin Department of Mathematics |
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| Abstract: | In this paper we have proved a class of interpolation inequalities, and makeuse of these inequalities to obtain Schauder's interior estimates for the classicalsolutions of a class of linear elliptic equations degenerated on boundary. Theseestimates extend the results of Gilbarg1]. |
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| Keywords: | boundary value problem degenerated elliptic equations linear elliptic equations interpolation method estimations |
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