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The Complex analysis of strongly pseudoconvex domains in C~n is rather well known. In this paper it is proved that for a bounded smoothly domain Ω there is a new complex structure on it under which Ω will locally become a strongly convex even though the point on bΩ is not a pseudoconvex point from the view of the original complex structure. Particularly if Ω is a weakly pseudoconvex domain, the μ can be made sufficiently close to the original complex structure. Therefore a lot of properties of strongly pseudoconvex domains will become true on weakly pseudoconvex domains, or general domains. For example, it is proved that there is a μ-holomorphic separating function which is holomorphic under the new complex structure. 相似文献
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Ye Xuan 《数学年刊B辑(英文版)》1992,13(4):406-410
The Complex analysis of strongly pseudoconvex domains in C^n is rather well known.In this paper it is proved that for a bounded smoothly domain $\omega$ there is a new complex structure on it under which $\omega$ will locally become a strongly convex even though the point on b&\omega& is not a pseudoconvex point from the view of the original complex structure.Particularly if $\omega$ is a weakly pseudoconvex domain,the $\mu$ cam be ,ade siffocoemt;u c;pse tp tje progoma; cp,[;ex strictire.Therefore a lot of properties of strongly pseudoconvex domains will become true on weakly pseudoconvex domains,or general domains.For example,it is proved that there is a $\mu-holomorphic$ separatin function which is holomorphic under the new complex structure. 相似文献
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设计并验证了一种用于细胞三维培养的集成微柱阵列的微流控芯片.芯片由一片聚二甲基硅氧烷(PDMS)沟道片和一片玻璃盖片组成, 在PDMS沟道片上集成了一个由两排微柱阵列围成的细胞培养室和两条用于输送培养基的侧沟道.微柱间距直接影响了芯片的使用性能, 是整个芯片设计的关键.基于数值模拟和实验验证, 本研究对微柱间距进行了优化设计.优化后的微流控芯片可以很好地实现细胞与细胞外基质模拟材料混合液的稳定注入、培养基中营养物质向培养室内的快速扩散和细胞代谢物的及时排出.在芯片上进行了神经干细胞的三维培养, 证明了芯片上构建的细胞体外微环境的稳定性. 相似文献
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