Sobolev相关论文
Quasilinear Degenerated Elliptic Systems with Weighted in Divergence Form with Weak Monotonicity wit
We consider, for a bounded open domain Ω in <em>R<sup>n</sup></em> and a function <em>u</em> : Ω → <em>R<sup>m</sup><......
Compressible Limit of the Nonlinear Schrdinger Equation with Different-Degree Small Parameter Nonli
The authors study the compressible limit of the nonlinear Schrdinger equation with different-degree small parameter no......
FROM ref. [1] it is known that every L~P(R~n) (1≤p【+ ∞) function, is L~P-continuous, 1.e. Further result about L~P-co......
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Let R(D) be the algebra generated in Sobolev space W22(D) by the rational functions with poles outside the unit disk D. ......
Let Ω RN be a ball centered at the origin with radius R 】 0 and N 7, 2* = 2N/N-2. We obtain the existence of infinit......
In the 1970’s,Folland and Stein studied a family of subelliptic scalar operators L_λwhich arise naturally in the(?)_b-......
We discuss the best approximation of periodic functions by trigonometric polynomials and the approximation by Fourier pa......
We prove the existence of the global, but unbounded solution of the semilinear heat equations with critical Sobolev expo......
This paper introduces the fractional Sobolev spaces on spaces of homogeneous type, includingmetric spaces and fractals. ......
The classical Hardy-Littlewood-Sobolev theorems for Riesz potentials (-△)-α/2 are extended tothe generalised fractiona......
This paper deals with the optimal exponential convergence rate βto the equilibrium state in Boltzmann-Shannon entropy f......
The Herz-type Sobolev spaces are introduced and the Sobolev theorem is established. The Herz-type Bessel potential space......
This paper investigates the optimal recovery of Sobolev spaces Wr1[-1,1],r ∈ N in the space L1[-1,1].They obtain the va......
1引言rn对给定的具有光滑边界Γ的区域Ω(∪)Rl(l=1,2,3)及时间区间(0,T],考虑如下的对流占优Sobolev方程:......
A Unified Petrov-Galerkin Spectral Method and Fast Solver for Distributed-Order Partial Differential
Fractional calculus and fractional-order modeling provide effective tools for modeling and simulation of anomalous diffu......
研究一类Cauchy问题解算子的可计算问题,定义了从初值f,g到解u的一个非线性映射KR,在初值和非齐次项满足一定条件时,运用二型有效......
We present an iterative algorithm for approximating an unknown function sequentially using random samples of the functio......
This article sets forth results on the existence and boundedness of solutions for quasilinear elliptic systems involving......
We prove the reducibility of analytic multipliers Mφwith a class of finite Blaschke products symbolφon the Sobolev dis......
利用H1-Galerkin混合有限元方法研究了一维半线性对流占优Sobolev方程,得到了半离散解的最优阶误差估计,该方法的优点是不需验证LB......
运用Sobolev嵌入定律和Schauder不动点定理,在一个比文[2]更宽松的条件下,建立了Hilben空间方法,并有效地解决了如下方程解的存在......
在Sobolev空间H^2R^n上定义一种新的广义积分小波变换，它包括了通常的小波变换，Fourier变换，Radon变换，以及朱文革在文献[1]中引入的广......
主要运用推广到算子￡．Ⅳ在锥上的零点指数，讨论了含有p-Laplaeian算子n阶多点边值问题在共振条件下非负解的存在性．......
在一类其定义域内无紧支集的函数空间~(-2)(Ω)上建立了一个带余项的Sobolev不等式。...
Sobolev 方程组是（V）/（t）-[V,ω]+Δp=F（x,t）（1）divV=0 （x∈R<sup>3</sup>,t≥0）.且满足 V（x,t）丨<sub>r=0</sub>=V<sup>0</sup>（x）,div V<sup>0<......
通过仔细的能量估计,证明了一个带Hardy和Sobolev 临界指数的半线性方程正解的存在性....
在这份报纸，非线性的 Sobolev Galpern 方程的起始的边界价值问题是 studied.The 存在，这个问题的本地答案的唯一借助于特殊格林 pr......
本文讨论某种具临界Sobolev指数的二阶半线性椭圆方程正解的在在性,利用拓朴变分原理得到一个在在性结果;又利用Z2群指标理论得到......
In the present paper the concept and properties of the residual functional in Sobolev space are investigated. The weak c......
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The conditions for determining solution of buckling eigenvalue problem are discussed. The corresponding system of integr......
MULTIPLICITY OF POSITIVE SOLUTIONS FOR SINGULAR ELLIPTIC SYSTEMS WITH CRITICAL SOBOLEV-HARDY AND CON
In this paper,we consider a singular elliptic system with both concave non-linearities and critical Sobolev-Hardy growth......
加权的 Sobolev 狮子类型空格 Wlp，(； E0， E )=Wlp，(； E ) Lp，(； E0 ) ，被学习 E0， E 是二个 Banach 空格， E0 连续地并且浓密地在 E 上被嵌......
In this paper, we study the existence result for degenerate elliptic equations with singular potential and critical cone......
设Ω∈Ｒ＾Ｎ（Ｎ〉２）是单位球，文中讨论了非线性椭圆型方程｛－△ｎ＝ａ（ｘ）／ｎ／＾２－２＾ｕ＋λｕ，ｘ∈Ω，ｎ＝０，解的存在性，其中２＝２Ｎ／Ｎ－２是Ｓｏｂｏｌｅｖ临界指数，λ为常数。在ｎ（ｘ）的适当限制下，得到了上述问题的一个存......
对Sobolev方程采用半有限元法进行数值模拟.通过将空间变量和时间变量分离,得到Sobolev方程的离散格式.首先对空间变量应用有限元......
Poisson方程与热传导方程的Lp估计是最基本的正则性估计。本文我们主要研究Poisson方程与热传导方程的一类新的正则性估计–加权Lp......
The concept of multiplicity of solutions was developed in [1] which is based on the theory of energy operators in the Sc......
In this paper, the fully discrete orthogonal collocation method for Sobolev equations is considered, and the equivalence......
Blow-up phenomena for solutions of some nonlinear parabolic systems with time dependent coefficients are investigated. B......
In this paper, we investigate the existence and uniqueness of weak solutions for a new class of initial/boundary-value p......
设Ω是RN(N≥5)中的有界光滑区域,0∈Ω,0≤s＜4,2*(s):=2(N-s)/N-4是临界Sobolev-Hardy指数,f(x)是一个给定的函数.利用变分原理,证......
作者调查 Petrov-Galerkin 光谱元素方法。Legendre 荒谬的伪直角的近似上的一些结果被建立，它在 Petrov-Galerkin 起重要作用光谱......
In this work, we study the following problem. , where ?is the fractional Laplacian and Ω?is a bounded domain in RN?......
The purpose of this paper is to study the superconvergence properties of Ritz-Volterra projection.Through construction a......
