共查询到20条相似文献,搜索用时 31 毫秒
1.
本文研究了具有低阶项的散度型椭圆方程-(a_(ij)u_(x_i))_(x_j)+b_iu_(x_i)-(d_ju)_(x_j)+cu= (f_j)_(x_j),a.e.x∈Ω的解在Morrey空间上的局部正则性,其中a_(ij)∈VMO∩L~∞(Ω),低阶项系数属于适当的Morrey空间. 相似文献
2.
Yemin Chen 《偏微分方程(英文版)》2003,16(2):127-134
In this paper, we study the Morrey regularity of solutions to the de- generate elliptic equation -(a_{ij}u_{xi})_{xj} = -(f_j)_{xj} in R^n. For this purpose, we introduce four weighted Morrey spaces in R^n. 相似文献
3.
本文主要研究C~n中有界凸Reinhardt域B_p上正规化双全纯完全准凸映射的齐次展开式问题,设f(z):B_p→C~n(p>2)是一个正规化双全纯完全准凸映射,k是满足k<p≤k+1的自然数,那么f_j(z)=z_j+α_(j2)z_j~2+…+α_(jk)z_j~k+O(|z|~(K+1)),其中f_j是f的第j个分量,j=1,2….,n. 相似文献
4.
We study the global existence of solutions for the multidimensional generalized BBM-Burgers equations of the form
_boxclose_boxclose+_j=1^df_j(u)_x_j=_j=1^du_x_jx_jt+_j=1^d(_n=1^N(-1)^n+1_n_x_j^2nu),u_t+\sum_{j=1}^{d}f_j(u)_{x_j}=\delta\sum_{j=1}^{d}u_{x_jx_jt}+\sum_{j=1}^{d}\Biggl(\sum_{n=1}^{N}(-1)^{n+1}\gamma_n\partial_{x_j}^{2n}u\Biggr), 相似文献
5.
Shanshan Zhang Lisheng Shu 《分析论及其应用》2014,(2):151-163
In this paper, we will use a method of sharp maximal function approach to show the boundedness of commutator [b,TδR] by Bochner-Riesz operators and the function b on weighted Morrey spaces Lp,κ(ω) under appropriate conditions on the weight ω, where b belongs to Lipschitz space or weighted Lipschitz space. 相似文献
6.
Yuqing Liu Dongxiang Chen 《逼近论及其应用》2008,(4):321-329
The boundedness of maximal Bochner-Riesz operator B^δ* and that of maximal commutator B^bδ*, generated by this operator and Lipschitz function on the classical Morrey space and generalized Morrey space are established. 相似文献
7.
ZHANG LEI ZHENG QING-YU SHI SHAO-GUANG 《数学研究通讯:英文版》2014,(3):257-264
The aim of this paper is to set up the weighted norm inequalities for commutators generated by approximate identities from weighted Lebesgue spaces into weighted Morrey spaces 相似文献
8.
Chong ZHAO 《数学年刊B辑(英文版)》2016,37(2):221-234
In the present paper, the author shows that if a homogeneous submodule M of the Bergman module L_a~2(B_d) satisfies P_M-sum from i to ( M_(zi)P_MM*_(zi))≤c/(N + 1)P_M for some number c 0, then there is a sequence {f_j } of multipliers and a positive number c such that c'P_M ≤sum from j to ( M_(fj)M*_(fj))≤ P_M, i.e., M is approximately representable. The author also proves that approximately representable homogeneous submodules are p-essentially normal for p d. 相似文献
9.
In this paper, the λ-central BMO estimates for higher order commuta-tors of Hardy operators on central Morrey space Lq,λ(Rn) are established. In the meanwhile, the corresponding corollary for central BMO estimates is also obtained. 相似文献
10.
Let 0 ≤α n,Ω be a rough kernel,and let A have derivatives of order m 1 in CBBMOq,μ2 with m ≥ 2.We consider a class of generalized commutators TΩA,α of Cohen-Gosselin type,and obtain the boundedness of TΩA,α from the central Morrey spaces Ep,μ1 to Er,λ for λ = μ1 + μ2 + α/n and 1/r = 1/p + 1/q α/n. 相似文献
11.
Let[b,T]be the commutator of parabolic singular integral T.In this paper,the authors prove that the boundedness of[b,T]on the generalized Morrey spaces implies b∈BM O(Rn,ρ).The results in this paper improve and extend the Komori and Mizuhara’s results. 相似文献
12.
Geng Sun 《计算数学(英文版)》1991,9(2):185-193
In this paper, a class of integration formulas is derived from the approximation so that the first derivative can be expressed within an interval $[nh,(n+1)h]$ as $$\frac{dy}{dt}=-P(y-y_n)+f_n+Q_n(t).$$ The class of formulas is exact if the differential equation has the shown form, where $P$ is a diagonal matrix, whose elements $$-pj=\frac{\partial}{\partial y_j}f_j(t_n,y_n),j=1,\cdots,m$$ are constant in the interval $[nh,(n+1)h]$, and $Q_n(t)$ is a polynomial in $t$. Each of the formulas derived in this paper includes only the first derivative $f$ and $$-pj=\frac{\partial}{\partial y_j}f_j(t_n,y_n).$$ It is identical with a certain Runge-Kutta method. In particular, when $Q_n(t)$ is a polynomial of degree two, one of our formulas is an extension of Treanor's method, and possesses better stability properties. Therefore the formulas derived in this paper can be regarded as a modified or an extended form of the classical Runge-Kutta methods. Preliminary numerical results indicate that our fourth order formula is superior to Treanor's in stability properties. 相似文献
13.
In the article we consider the fractional maximal operator Mα, 0≤α
相似文献 14.
Linearized oscillations in nonlinear delay difference equations 总被引:1,自引:0,他引:1
Consider the nonlinear delay difference equation
We establish a linearized oscillation result of this equation, which is the extension of the result in the paper [1].
Supported by the National Natural Science Foundation of China 相似文献
15.
Under the assumption that μ is a non-doubling measure on Rdwhich only satisfies the polynomial growth condition,the authors obtain the boundedness of the multilinear fractional integrals on Morrey spaces,weak-Morrey spaces and Lipschitz spaces associated with μ,which,in the case when μ is the d-dimensional Lebesgue measure,also improve the known results. 相似文献
16.
Shen Zhou Zheng 《数学学报(英文版)》2008,24(11):1909-1924
In this paper we establish an interior regularity of weak solution for quasi-linear degenerate elliptic equations under the subcritical growth if its coefficient matrix A(x, u) satisfies a VMO condition in the variable x uniformly with respect to all u, and the lower order item B(x, u, △↓u) satisfies the subcritical growth (1.2). In particular, when F(x) ∈ L^q(Ω) and f(x) ∈ L^γ(Ω) with q,γ 〉 for any 1 〈 p 〈 +∞, we obtain interior HSlder continuity of any weak solution of (1.1) u with an index κ = min{1 - n/q, 1 - n/γ}. 相似文献
17.
Pavlos Sinopoulos 《Aequationes Mathematicae》1995,49(1):122-152
In this paper we solve the equations
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