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THE SCHWARZ LEMMA AT THE BOUNDARY OF THE NON-CONVEX COMPLEX ELLIPSOIDS

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Acta Mathematica Scientia 2019年第4期39卷 915-926页

作者： Le HE Zhenhan TU School of Mathematics and Statistics Wuhan University

Let B2,p:= {z ∈ C2: |z1|2+ |z2|p< 1}（0 < p < 1）. Then, B2,p（0 < p < 1） is a non-convex complex ellipsoid in C2 without smooth boundary. In this article, we establish a boundary Schwarz lemma at z0 ∈ ?B2,p for ho... 详细信息

关键词： Boundary Schwarz lemma Holomorphic mappings kobayashi metric nonconvex complex ellipsoids

Rigidity for convex mappings of Reinhardt domains and its applications

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Science China Mathematics 2019年第5期62卷 901-920页

作者： Taishun Liu Xiaomin Tang Jianfei Wang Department of Mathematics Huzhou University School of Mathematical Sciences Huaqiao University Department of Mathematics Zhejiang Normal University

In this paper, we investigate rigidity and its applications to extreme points of biholomorphic convex mappings on Reinhardt domains. By introducing a version of the scaling method, we precisely construct many unbounded convex mappings with only one in?nite discontinuity on the boundary of this domain. We also give a rigidity of these unbounded convex mappings via the kobayashi metric and the Liouville-type theorem of entire functions. As an application we obtain a collection of extreme points for the class of normalized convex mappings. Our results extend both the rigidity of convex mappings and related extreme points from the unit ball to Reinhardt domains.

关键词： convex mapping Reinhardt domain scaling method kobayashi metric extreme point

CURVATURES ON A CLASS OF REINHARDT DOMAINS

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Science China Mathematics 1992年第11期35卷 1281-1293页

作者：殷慰萍 Department af Mathematics University of Science and Technology at China Hefei 230026 PRC

For a class of Reinhardt domains, we prove that the holomorphic sectional curvatures are upper-bounded by a negative constant. Then we obtain a comparison theorem for the kobayashi and Bergman metrics on the domains.

关键词： comparison theorem kobayashi metric holomorphic sectional curvature Reinhardt domain.

On the Effects of Complex Conjugate Medium on TM Scattering by a Strip

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Journal of Electromagnetic Analysis and Applications 2011年第7期3卷 267-270页

作者： Amjad Imran Ahsan Illahi 不详

In this paper, Method of kobayashi Potential is used to determine the scattering behavior of a strip which is placed at the air-complex conjugate medium interface. And discussion is presented that how the complex conjugate medium mod-ify the scattering properties of the strip. A comparison is also given with that if we replace the conjugate medium with standard dielectric medium. E-polarized electromagnetic plane wave is supposed to be obliquely incident upon the ge-ometry. Scattered fields in both the half spaces are supposed in terms of unknown weighting functions. Discontinuous properties of Weber-Schafheitlin integral and orthogonal properties of Jacobi’s polynomials are used to determine these unknown weighting functions. Far scattered fields have been calculated using Saddle Point Method and computed for different parameters of interest.

关键词： Complex Conjugate Medium kobayashi Potential Method Scattering from Strip Mixed Boundary Value Problem Etc

cosSHIELD辐射屏蔽分析软件的基准题验证

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核电子学与探测技术 2022年第6期42卷 974-981页

作者：刘巧凤赵传奇魏超严伊蔓邢丹生态环境部核与辐射安全中心北京102401 国家电投集团中央研究院北京100033

核电软件在开发和许可认证审评过程中必须经过必要且足够的验证,利用基准题开展验证计算是软件验证的一种常用手段.选取Takeda和kobayashi两个典型国际基准题,针对COSINE软件包中的辐射屏蔽分析软件cosSHIELD开展验证计算.结果表明,cosS... 详细信息

核电软件在开发和许可认证审评过程中必须经过必要且足够的验证,利用基准题开展验证计算是软件验证的一种常用手段.选取Takeda和kobayashi两个典型国际基准题,针对COSINE软件包中的辐射屏蔽分析软件cosSHIELD开展验证计算.结果表明,cosSHIELD软件的k_(eff)和控制棒价值计算结果与Takeda基准题大部分参考值的相对偏差分别在±0.2%和±10%以内;除极个别位置外,中子注量率计算结果与kobayashi基准题Case i、Case ii参考值的相对偏差分别在±5%和±10%以内,初步验证了cosSHIELD软件在固定源问题的临界计算与中子注量率计算中的合理性.

关键词： cosSHIELD Takeda kobayashi 基准题验证