一类非线性势力的方程解的Blow—up

研究了一类带有齐次Ｄｉｒｉｃｈｌｅｔ边界条件的非线性退化抛物方程，证明了了解在有限时间Ｂｌｏｗ－ｕｐ，并给出了Ｂｌｏ－ｗｕｐ时间的一个界。     

非线性扩散方程

非线性扩散方程作为一类重要的拟线性抛物型方程,来源于自然界广泛存在的扩散现象、渗流理论、相变理论、生物化学以及生物群体动力学等领域。在许多情形下,所提出的方程具有退化性或其他奇异性。由于一方面,这类方程比线性方程和不具退化性或其他奇异性和拟线性方程更能反映某些物理实际,如何,扰动传播的有限性等,所以具有更广泛实际背景;另一方面,退化性或其他奇异性的存在提出许多挑战性的问题,使得数学上研究的内容更加     

一类具强非线性退化抛物方程古典解的存在性

本文对（１）中所研究的非线性退化抛物方程的结果作了推广，证明了在一定条件下，广义解的存在性。     

退化抛物型方程组整体解的存在性

对含有梯度项的退化抛物型方程(组)初边值问题的研究,己知的结果似乎较少.本文采用抛物型正则化的方法,讨论了一类带有梯度项的退化抛物型方程组的初边值问题,得到了其非负连续解的整体存在性,推广了 Maddalena L 的结果.     

退化抛物-双曲型方程柯西问题的解关于初值的连续性

二阶退化抛物-双曲型方程源于物理、金融及生物学中。本文主要就这类方程的柯西问题,应用动力学技巧,得到了这类方程的柯西问题的解在L~1意义下关于初始时刻的连续性。     

双重退化抛物型方程的重整化解

利用抛物正则化方法证明了双重退化抛物型方程重整化解的存在惟一性.     

一类退化Logistic型抛物方程的周期边值问题

利用Moser迭代技术和Leray Schauder度理论, 研究一类退化Logistic型抛物方程的周期边值问题, 得到其非负非平凡周期解的存在性.     

一类退化抛物型方程广义解梯度的Holder连续性

考虑一类退化抛物型方程，证明它的广义解的空间梯度的局部Ｈｏｌｄｅｒ连续性。     

非一致抛物型方程的混合边值问题

本讨论非一致二阶抛物型方程初始边值问题的弱解存在性。其方程中ut的系数b(t,x)非负，椭圆型中的数矩阵（aij(t,x)）是半正定的。若b(t,x)≡0则此问题简化为退化的椭圆型。此外，中还讨论了抛物型中退化椭圆边值问题的弱解存在性。     

带抛物型退化线的二阶拟线性混合型方程的Frankl问题

讨论了带抛物型退化线的二阶拟线性混合型方程的Frankl问题，首先给出了解的积分表示与解的先验估计，然后利用逐次迭代和参数开拓的方法，证明了问题解的存在性．     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

Features of Women's language

Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women＇s language from these perspectives： pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women＇s language, more attention should be paid to language use in social context. What＇s more, the linguistic phenomena in a speaking community can be understood more thoroughly.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that     

On the Thermodynamic Limit for Responses to Static Electromagnetic Fields

For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the     

Call for Papers

<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with     

Journal of Donghua University ( English Edition) Contents of Volume 31

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