Special John-Nirenberg-Campanato spaces via congruent cubes

Let p ∈ [1, ∞), q ∈ [1, ∞), α∈ R, and s be a non-negative integer. Inspired by the space JNp introduced by John and Nirenberg(1961) and the space B introduced by Bourgain et al.(2015), we introduce a special John-Nirenberg-Campanato space JN^con_(p,q,s) over Rⁿ or a given cube of R;with finite side length via congruent subcubes, which are of some amalgam features. The limit space of such spaces as p →∞ is just the Campanato space which coincides with the space BMO(the space of functions with bounded mean oscillations)when α = 0. Moreover, a vanishing subspace of this new space is introduced, and its equivalent characterization is established as well, which is a counterpart of the known characterization for the classical space VMO(the space of functions with vanishing mean oscillations) over Rⁿ or a given cube of Rⁿ with finite side length.Furthermore, some VMO-H¹-BMO-type results for this new space are also obtained, which are based on the aforementioned vanishing subspaces and the Hardy-type space defined via congruent cubes in this article. The geometrical properties of both the Euclidean space via its dyadic system and congruent cubes play a key role in the proofs of all these results.     

A posteriori error analysis of a quadratic finite volume method for nonlinear elliptic problems

In this article, we construct and analyze a residual-based a posteriori error estimator for a quadratic finite volume method (FVM) for solving nonlinear elliptic partial differential equations with homogeneous Dirichlet boundary conditions. We shall prove that the a posteriori error estimator yields the global upper and local lower bounds for the norm error of the FVM. So that the a posteriori error estimator is equivalent to the true error in a certain sense. Numerical experiments are performed to illustrate the theoretical results.     

基于弦振动测量金属细线的线密度

提出了一种测量金属细线线密度的新方法,并对测量原理、公式进行了较为详细的推导,将测量结果与标准值进行了比较.从测量结果可知,其相对误差较小,说明利用该方法测量细线的线密度确实可行.     

CSS代码命名规则与技巧探讨

合理、科学地对CSS代码命名,能够精简CSS代码,提高代码的开发效率,方便网站设计师对网站进行维护与修改.通过对CSS代码命名规则分析,提出了进行语义化命名、结构化命名和惯例命名三种CSS代码命名技巧.     

土壤肥料学实验课程的教学改革与实践

为全面培育卓越农林人才，提高教学培养质量，本研究结合土壤肥料学的课程内容、教学特点及实验方法，对存在的问题进行了剖析，并结合实际针对存在问题做出了相应改革，适时调整《土壤肥料学》实验课程内容和形式。通过删减验证性实验内容，增设综合性实验，传统部分教学内容实现网络化等三方面对该课程的实验课部分进行了改革与实践，以期提高学生综合运用所学《土壤肥料学》的相关知识来解决生产实际问题的能力。     

时标轴上二阶Dirichlet边值问题的弱解（英文）

采用变分方法和临界点理论研究一个时标轴上二阶Dirichlet边值问题弱解的存在性.     

Characteristics of black carbon aerosol in Jiaxing,China during autumn 2013

We conducted measurements of black carbon（BC） aerosol in Jiaxing,China during autumn from September 26 to November 30,2013.We investigated temporal and diurnal variations of BC,and its correlations with meteorological parameters and other major pollutants.Results showed that hourly mass concentrations of BC ranged from 0.2 to 22.0 μg/m³,with an average of 5.1 μg/m³.The diurnai variation of BC exhibited a bimodal distribution,with peaks at 07:00 and 18:00.The morning peak was larger than the evening peak.The mass percentages of BC in PM_2.5 and PM₁₀ were 7.1%and 4.8%,respectively.The absorption coefficient of BC was calculated to be 44.4 Mm^-1,which accounted for 11.1%of the total aerosol extinction.BC was mainly emitted from local sources in southwestern Jiaxing where BC concentrations were generally greater than 11 μg/m³ during the measurement period.Correlation analysis indicated that the main sources of BC were motor vehicle exhaust,and domestic and industrial combustion.