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1.
利用分解技术,Gronwall不等式以及常值变分公式,证明了形如 {ut=△u+au-u^3-v, ut=△v+δu-γv x∈R^n,t>0一类Activator-Inhibitor模型的初值问题古典整解(u,v)的存在性,并给出了一定条件下解(u,v)在L^2范数以及v在最大模范数下的衰减估计。  相似文献   

2.
用上、下解方法研究非线性差分方程初值问题:△uk+f(k,uk)=0,k=1,…,n;u_0=0,其中△uk=uk-uk-1,给出下解v不超过上解w的一个充分条件:当f(k,u)关于u不减时,有v≤w.用Brouwer不动点定理以及修正初值问题的技巧,建立了解的存在定理:在f(k,u)关于u连续的条件下,对给定的下解v与上解w;v≤w,初值问题存在解u满足v≤n≤w。  相似文献   

3.
利用非偶泛函的Z2等变Ljusternik-Schnirelman理论,证明了方程-Δu=λα(x)u+g(x,u)+f(x)或-Δu=λα(x)u+g(x,u)+μf(x)无穷多个解的存在性。  相似文献   

4.
一类半线性椭圆型方程爆破解的存在性   总被引:2,自引:0,他引:2  
设Ω是R^N(N≥2)中的C^2有界区域,对适当的无界非线性项系数p(x),首先应用非线性变换v=e^-u,半爆破解问题Δu=p(x)e^u,x∈Ω,u│δΩ=+∞转化成等价的带奇异项的Dirichlet问题-Δv+│△v│^2/v=p(x),v〉0,x∈Ω,v│δΩ=0。应用极大值原理得到了爆破解问题的最小爆破速度。随后,应用摄动方法得到了爆破解的存在性,从而去掉了通常对p(x)所加的有界性条件  相似文献   

5.
考虑带耗散项的一阶拟线双曲型方程组ut+p(v,s)x=-αu,,vt-ux=0,st=0的柯西问题,其中p(v,s)=e^-vψ(s),ψ∈C^1(R),ψ(s)〉0,在初值(u0(x),v0(x0))的C^0模有界及它的导数(u0^1(x),u0(x))的C^0模充分小的假设下,证明了柯西问题的整体光滑解的存在性。  相似文献   

6.
本文考虑下列方程{-Δu+λu=│u│^p-1u,在Ω内,u〉0,在Ω内,θu/θv│θΩ=0,其中,Ω∪→R^N(N≥3)为一类有界可缩区域,θΩ充分光滑,λ∈R,v为θΩ的单位外法向量,p=N+2/N-2为临界指标。我们证明了λ〉0充分大时,上述方程具有多个正解。  相似文献   

7.
讨论了Klein-Gordon方程组uu-△u+a^2u+a^2uv^2=f(x,t),utt-△v+β^2v+b^2u^2v=g(x,t)初边值问题的经典解,这里f(x,t),g(x,t)为实值函数,α,β,a,b,都为常数。  相似文献   

8.
本文研究了一类强非线性双曲方程组u_(tt)-u_(xx)=f(u,v),v_(tt)-v_(xx)=g(u,v)解的存在和唯一性,还证明了解的Holder连续性。  相似文献   

9.
超双曲型方程的Dirichlet问题   总被引:2,自引:2,他引:0  
从紧算子的谱理论出发,给了了超双曲型方程(Δx-Δy)u+λu=f(x,y),x=(x1,x2…xm),y=(y1,y2,…,ym)的Dirichlet问题解的存在性和唯一性定理。  相似文献   

10.
讨论了如下的半线性椭圆型偏微分方程的边值问题Δu+f(|(x,|,u)=0,x∈Ω,u(x)=0,x∈δΩ的径向解,其中n≥2,Ω是R^n空间的单位开球。用Schauder不动点定理,在新的奇异性条件下,得到(1)-(2)解的存在性。  相似文献   

11.
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.  相似文献   

12.
何延凌 《科技信息》2008,(4):258-258
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.  相似文献   

13.
The discovery of the prolific Ordovician Red River reservoirs in 1995 in southeastern Saskatchewan was the catalyst for extensive exploration activity which resulted in the discovery of more than 15 new Red River pools. The best yields of Red River production to date have been from dolomite reservoirs. Understanding the processes of dolomitization is, therefore, crucial for the prediction of the connectivity, spatial distribution and heterogeneity of dolomite reservoirs.The Red River reservoirs in the Midale area consist of 3~4 thin dolomitized zones, with a total thickness of about 20 m, which occur at the top of the Yeoman Formation. Two types of replacement dolomite were recognized in the Red River reservoir: dolomitized burrow infills and dolomitized host matrix. The spatial distribution of dolomite suggests that burrowing organisms played an important role in facilitating the fluid flow in the backfilled sediments. This resulted in penecontemporaneous dolomitization of burrow infills by normal seawater. The dolomite in the host matrix is interpreted as having occurred at shallow burial by evaporitic seawater during precipitation of Lake Almar anhydrite that immediately overlies the Yeoman Formation. However, the low δ18O values of dolomited burrow infills (-5.9‰~ -7.8‰, PDB) and matrix dolomites (-6.6‰~ -8.1‰, avg. -7.4‰ PDB) compared to the estimated values for the late Ordovician marine dolomite could be attributed to modification and alteration of dolomite at higher temperatures during deeper burial, which could also be responsible for its 87Sr/86Sr ratios (0.7084~0.7088) that are higher than suggested for the late Ordovician seawaters (0.7078~0.7080). The trace amounts of saddle dolomite cement in the Red River carbonates are probably related to "cannibalization" of earlier replacement dolomite during the chemical compaction.  相似文献   

14.
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。  相似文献   

15.
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.  相似文献   

16.
AcomputergeneratorforrandomlylayeredstructuresYUJia shun1,2,HEZhen hua2(1.TheInstituteofGeologicalandNuclearSciences,NewZealand;2.StateKeyLaboratoryofOilandGasReservoirGeologyandExploitation,ChengduUniversityofTechnology,China)Abstract:Analgorithmisintrod…  相似文献   

17.
There are numerous geometric objects stored in the spatial databases. An importance function in a spatial database is that users can browse the geometric objects as a map efficiently. Thus the spatial database should display the geometric objects users concern about swiftly onto the display window. This process includes two operations:retrieve data from database and then draw them onto screen. Accordingly, to improve the efficiency, we should try to reduce time of both retrieving object and displaying them. The former can be achieved with the aid of spatial index such as R-tree, the latter require to simplify the objects. Simplification means that objects are shown with sufficient but not with unnecessary detail which depend on the scale of browse. So the major problem is how to retrieve data at different detail level efficiently. This paper introduces the implementation of a multi-scale index in the spatial database SISP (Spatial Information Shared Platform) which is generalized from R-tree. The difference between the generalization and the R-tree lies on two facets: One is that every node and geometric object in the generalization is assigned with a importance value which denote the importance of them, and every vertex in the objects are assigned with a importance value,too. The importance value can be use to decide which data should be retrieve from disk in a query. The other difference is that geometric objects in the generalization are divided into one or more sub-blocks, and vertexes are total ordered by their importance value. With the help of the generalized R-tree, one can easily retrieve data at different detail levels.Some experiments are performed on real-life data to evaluate the performance of solutions that separately use normal spatial index and multi-scale spatial index. The results show that the solution using multi-scale index in SISP is satisfying.  相似文献   

18.
In the 19th century the society was controlled by men, and women were just appendants of them, they had not any rights and freedom. But Jane was an exception, she showed some characteristics of early feminist. Jane showed her characteristics of feminism in three aspects: rebellion, equality, and independence. These characteristics were helpful to her success, and feminism is the only way out for women of that time.  相似文献   

19.
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-  相似文献   

20.
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-  相似文献   

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