| 关于第一类椭圆组的适定性 |
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| 引用本文： | 邓志兵.关于第一类椭圆组的适定性[J].华南理工大学学报(自然科学版),1987(1). |
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| 作者姓名： | 邓志兵 |
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| 作者单位： | 华南工学院数力系 |
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| 摘 要： | 本文讨论了第一类椭圆组的一个定解问题,证明了:如果条件(D)不成立,则在任意两条相交直线上给出解析数据的定解问题是适定;而满足条件(D)的议程组不完全具有这一性质;此外,非解析数据常常导致该问题无解.同时,本文讨论了一类特殊低阶项对第一类椭圆组在单位园内的Dirichlet问题的影响,对其适定性的讨论获得了完整的结论.
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| 关 键 词： | 线性椭圆型方程 方程组 适定问题 狄利克雷问题 二阶 |
ON THE WELL-POSEDNESS OF THE FIRST CLASS OF ELLIPTIC SYSTEMS |
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| Deng Zhibing Dept. of Math. & Mech. South China Inst. of Tech..ON THE WELL-POSEDNESS OF THE FIRST CLASS OF ELLIPTIC SYSTEMS[J].Journal of South China University of Technology(Natural Science Edition),1987(1). |
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| Authors: | Deng Zhibing Dept of Math & Mech South China Inst of Tech |
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| Institution: | Deng Zhibing Dept. of Math. & Mech. South China Inst. of Tech. |
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| Abstract: | For the first class of elliptic systems, the problem given analytic data on two arbitrary intersecting lines is well-posed if condition (D) is invalid; but not all of the systems satisfying condition (D) are of this property; in addition, nonanalytic data oftenresult in no solution for this problem. On the other hand, for the same systems, this paper also deals with the effect of a kind of special lower-order terms on Dirichlet problem in the unit circle, and obtains complete results for the discussion of the well-posedhess. |
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| Keywords: | linear elliptic equation system of equations second order well-posed problem Dirichlet problem |
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