| 有界域上具有局部全纯核的Leray－Norguet公式及其应用 |
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| 引用本文： | 林良裕.有界域上具有局部全纯核的Leray－Norguet公式及其应用[J].厦门大学学报(自然科学版),1996(3). |
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| 作者姓名： | 林良裕 |
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| 基金项目： | 国家和福建省自然科学基金 |
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| 摘 要： | 利用局部化方法，直接构造Ｃｎ中具有逐块光滑边界的有界域上的一个局部全纯的单位分解和相应的核，去建立光滑函数和全纯函数的Ｌｅｒａｙ－Ｎｏｒｇｕｅｔ公式，作为应用，获得方程ｕ＝ｇ的解的Ｌｅｒａｙ－Ｎｏｒｇｕｅｔ积分公式及其Ｌ局部一致估计．
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| 关 键 词： | 有界域，全纯核，积分公式 |
The Leray-Norguet Formula with Local Holomrphic Kernel on Bounded Domains and Its Applications |
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| Lin Liangyu.The Leray-Norguet Formula with Local Holomrphic Kernel on Bounded Domains and Its Applications[J].Journal of Xiamen University(Natural Science),1996(3). |
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| Authors: | Lin Liangyu |
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| Institution: | Dept.of Math. |
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| Abstract: | For the bounded domain D in Cn with piecewise smooth boundary,the author derectly uses a localization methed to construct a locally holomorphic partition of unity and its corresponding kernel,and obtains Leray-Norguet formula of the differentiable and holomorphic functions with locally holomorphic kernel, as an application the author obtains a local solution of a-equation u=g,and proves that there exists uniform estimates in the sense of localization. |
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| Keywords: | Bounded domain Holomorphic kernel Ingegral formula |
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