与分数次积分和具有非光滑的奇异积分算子相关的Toeplitz型算子在Morrey空间的有界性

本文证明了与分数次积分和具有非光滑的奇异积分算子相关的Toeplitz型算子的sharp极大函数估计,做为应用,得到了该算子在Morrey空间的有界性.     

稀土铽配合物有机电致发光

利用三价稀土铽配合物作为发射层、二胺衍生物(TPD)以及聚乙烯咔唑(PVK)作为空穴传输层制备了有机电致发光器件. 器件的结构为 玻璃衬底/ITO/PVK 或者TPD/Tb3+ 配合物/Al, 其中空穴传输层TPD 和发光层Tb3+-配合物采用热蒸发办法成膜. 而空穴传输层PVK采用旋甩涂敷的方法成膜. 对于以上的两种器件均获得了来自Tb3+ 的窄峰发射, 在直流电压15.4 V驱动下, 器件发光亮度达210 cd·m-2.     

Strain gage method for determining stress intensities of sharp-notched strips

An efficient and simple strain gage method for determining the stress intensities of sharp-notched strips is proposed. The bisector of the notch angle is inclined to the edge so that the mixed-mode loading is created simultaneously at the notch tip. A theory of determining the stress intensities using strain gages is described on the basis of the two-dimensional theory of elasticity. Experiments on specimens with various notch shapes are carried out to verify the theoretical results. Experimental results are in good agreement with theoretical results.     

耦合非线性Klein-Gordon方程组的整体解

研究二维空间中一类耦合非线性Klein-Gordon方程组的整体解．首先,通过构造交叉强制变分问题且建立发展流的交叉不变流形,得到了该方程组解爆破和整体存在的一个最佳条件．然后利用尺度变换讨论证明了当初值为多小时,该方程组的整体解存在．     

The Exact Limits and Improved Decay Estimates for All Order Derivatives of the Global Weak Solutions to a Two-Dimensional Incompressible Dissipative Quasi-Geostrophic Equation

We will accomplish the exact limits for all order derivatives of the global weak solutions to a two-dimensional incompressible dissipative quasi-geostrophic equation. We will also establish the improved decay estimates with sharp rates for all order derivatives. We will consider two cases for the initial function and the external force and prove the optimal results for both cases. We will couple together existing ideas (including the Fourier transformation and its properties, Parseval''s identity, iteration technique, Lebesgue''s dominated convergence theorem, Gagliardo-Nirenberg-Sobolev interpolation inequality, squeeze theorem, Cauchy-Schwartz''s inequality, etc) existing results (the existence of global weak solutions, the existence of local smooth solution on $(T,\infty)$ and the elementary decay estimate with a sharp rate) and a few novel ideas to obtain the main results.     

The Exact Limits and Improved Decay Estimates for All Order Derivatives of Global Weak Solutions of Three Incompressible Fluid Dynamics Equations

First of all, the author accomplishes the exact limits for all order derivatives of the global weak solutions of the $n$-dimensional incompressible magnetohydrodynamics equations, the $n$-dimensional incompressible Navier-Stokes equations and the two-dimensional incompressible dissipative quasi-geostrophic equation. Secondly, by making use of the exact limits, he establishes the improved decay estimates with sharp rates for all order derivatives of the global weak solutions, for all sufficiently large $t$. The author proves these results by making use of existing ideas, existing results and several new, novel ideas.