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.     

Fe掺杂对BiTaO_4陶瓷样品介电和铁电特性的影响

为探究Fe掺杂对BiTaO4陶瓷样品介电特性和铁电特性的影响,采用传统固相烧结法制备了Bi Ta1-xFexO4-x(x=0,0.01,0.03)陶瓷样品,利用X线衍射仪和扫描电子显微镜对样品的晶体结构和表面形貌进行分析,利用精密阻抗分析仪和铁电分析仪对样品的介电性能和铁电性能进行检测.结果表明:Fe掺杂没有明显改变样品的晶体结构;随着Fe掺杂量的增加,样品的介电常数表现出较好的稳定性,介电损耗略有减小,且基本保持在tanδ=0.05以下,其漏电流先增大后减小,且掺杂样品均可得到比较完整的电滞回线.     

Preparation and gas sensing activity of La and Y co-doped titania nanoparticles

Journal of Sol-Gel Science and Technology - A novel gas sensing material, La–Y co-doped TiO2 nanoparticles, was synthesized by sol–gel method and applied to detect organic pollutants...     

关于检查井沉降与解决措施的研究

基于我国检查井施工中出现的不均匀沉降及相关施工问题的实际情况,针对导致上述问题出现的各方面原因进行分析,就优化设计、规范开挖及回填施工、强化检查井的砌筑等方面提出了相应解决措施.以期为我国市政管线建设中的检查井设计及施工提供借鉴.     

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.