Boundary Harnack Principle for <Emphasis Type="Italic">p</Emphasis>-harmonic Functions in Smooth Euclidean Domains

We establish a scale-invariant version of the boundary Harnack principle for p-harmonic functions in Euclidean C ^1,1-domains and obtain estimates for the decay rates of positive p-harmonic functions vanishing on a segment of the boundary in terms of the distance to the boundary. We use these estimates to study the behavior of conformal Martin kernel functions and positive p-superharmonic functions near the boundary of the domain. H. A. was partially supported by Grant-in-Aid for (B) (2) (No. 15340046) Japan Society for the Promotion of Science. N. S. was partially supported by NSF grant DMS-0355027. X. Z. was partially supported by the Taft foundation.     

Quantum Black Hole

Creation of a black hole in quantum cosmology is the third way of black hole formation. In contrast to the gravitational collapse from a massive body in astrophysics or from the quantum fluctuation of matter fields in the very early universe, in the quantum cosmology scenario the black hole is essentially created from nothing. The black hole originates from a constrained gravitational instanton. The probability of creation for all kinds of single black holes in the Kerr-Newman family, at the semiclassical level, is the exponential of the total entropy of the universe, or one quarter of the sum of both the black hole and the cosmological horizon areas. The de Sitter spacetime is the most probable evolution at the Planckian era.     

高斯光束在任意分布的径向梯度折射率介质中传输的计算方法

根据弱波导近似,本文建立了处理高斯光束在任意分布的径向梯度折射率介质中传输的计算方法,并具体计算和讨论了高斯光束腰斑在沿径向呈抛物型分布的介质中随传输距离的变化情况,其数值结果与解析近似符合。     

烯丙基钯催化区域选择性氧化制备甲基酮的研究

报道了以氯化钯作催化剂，区域选择性氧化９－烯丙基－１－氧代－４－氮杂双环（４．３．０）壬烷及１０－烯丙基－１－氧代－４－氮杂双环（５．３．０）癸烷，制备了９－丙酮基－１－氧化－４－氮杂双环（４．３．０）壬烷及１０－丙酮基－１－氧代－４－氮杂双环（５．３．０）癸烷。比较了不同催化条件和溶剂系统的反应收率，发现以ＰｄＣｌ２／对－苯醌为催化系统和以含水的ＤＭＦ溶剂系统氧化收率最高。     

多工作点加速度计组合件高精度鲁棒温度控制

将存在多个工作环境的加速度计组合件温度控制受控对象描述为存在有界时变参数摄动和有界干扰的非线性时变不确定系统,提出了一种基于信号补偿的鲁棒温度控制方法,该方法设计的控制器由标称控制器和鲁棒补偿器组成.证明了闭环系统的鲁棒控制特性,实验结果显示所设计的控制系统能够在多个工作环境下实现高精度的鲁棒温度控制.     

Banach 空间一类奇异脉冲微分方程的多解存在性

该文利用不动点指数理论讨论了Banach空间中一类带奇异性的脉冲微分方程Neumann边值问题多解的存在性,并给出了应用     

莫阿光纤光栅的光谱特性及其在光分插复用器中的应用

从耦合模理论出发，结合莫阿光纤光栅的结构特性，运用分段均匀和传输矩阵法对幕阿光纤光栅的光谱特性进行了理论分析和数值计算；详细研究了线性啁啾莫阿光纤光栅的滤波特性，在此基础上，提出了一种新型的基于线性啁啾莫阿光纤光栅的光分插复用器的结构设计方案。     

PREPARATION OF ELECTRICAL CONDHCTIVE MOLYBDENUM OXIDE BY THERMAL DECOMPOSITION OE HYDRAZINE-CONTAINING MOLYBDENUM SALT

A new method of preparing electrical conductive molybdenumoxide by thermal decomposition from hydrazine-containing molybdenum saltwas described.The process of the thermal decomposition of hydrazine-containing molybdemum salt was investigated by thermal analysis(TG and DTA)and the thermally decomposed product was studied by S.E.M.and chemicalanalysis.The result indicated that the molybdenum oxide obtained in thisway was electrical conductive.     

Influence of capillary pressure on the evaporation of thin liquid films

A model is presented that considers the influence of capillary pressure on the evaporation of a liquid film on a vertical that plate. The governing equations are derived and numerically integrated with a step-variable Runge-Kutta method. The numerical results are compared with the analytical solution from Nusselt's film condensation theory. The deviation from the Nusselt film theory become very prominent when the liquid film becomes thin enough. This can be attributed to the fact that the Nusselt film theory does not consider the influence of capillary pressure on the shape of the liquid film.Es wird ein Modell vorgestellt, das den Einfluß des Kapillardrucks auf die Verdampfung eines dünnen Flüssigkeitsfilms berücksichtigt, der entlang einer senkrechten Platte herabrieselt. Die maßgebenden Gleichungen werden abgeleitet und numerisch mit einem Runge-Kutta-Verfahren veränderlicher Schrittweite integriert. Die numerischen Ergebnisse werden mit denen der Nusseltschen Filmtheorie verglichen. Dabei ergeben sich beträchtliche Abweichungen von dieser in den Bereichen, in denen der Flüssigkeitsfilm sehr dünn wird. Dies ist darauf zurückzuführen, daß die Nusseltsche Filmtheorie den Einfluß des Kapillardrucks auf die Filmkontur nicht berücksichtigt.