共查询到20条相似文献,搜索用时 31 毫秒
1.
某些迭代函数系统(IFS)的吸引子的Hausdorf维数的经典估计通常由求解两个非线性方程的解得到.在相同条件下,本文给出了一些显式不等式估计,使经典估计是其中的特殊情形.而且某些IFS的吸引子的维数可以通过求解满足一定条件的非线性方程而得出 相似文献
2.
在矩阵损失函数下,讨论了一般增长曲线模型中回归系数线性估计的可容许性问题,分别在齐次与非齐次估计类中给出了回归系数的线性估计是可容许估计的充要条件,推广了以往文献的相关结论. 相似文献
3.
O. L. Vinogradov 《Siberian Mathematical Journal》2007,48(3):430-445
We establish sharp error estimates for some numerical di.erentiation formulas on the classes of entire functions of exponential type. The estimates strengthen some classical sharp inequalities of approximation theory. 相似文献
4.
Manfredo P. do Carmo Detang Zhou 《Transactions of the American Mathematical Society》1999,351(4):1391-1401
We obtain some sharp estimates on the first eigenvalues of complete noncompact Riemannian manifolds under assumptions of volume growth. Using these estimates we study hypersurfaces with constant mean curvature and give some estimates on the mean curvatures.
5.
The paper is to establish a boundedness criterion for some commutators of linear operators when these linear operators don't satisfy the general Ap weight estimates but satisfy some radial weight estimates. 相似文献
6.
Chengjie Yu 《manuscripta mathematica》2012,139(3-4):321-341
In this article, we obtain some estimates about the gradient and Laplacian of the fundamental solution of a heat equation with time-dependent Riemannian metrics and give some applications of the estimates on the asymptotic behaviors of fundamental solutions. 相似文献
7.
The paper is to establish a boundedness criterion for some commutators of linear operators when these linear operators don't satisfy the general Ap weight estimates but satisfy some radial weight estimates. 相似文献
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9.
Second Order Estimates for Non-Concave Hessian Type Elliptic Equations on Riemannian Manifolds
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Heming Jiao 《数学研究》2015,48(3):275-289
In this paper, we derive second order estimates for a class of non-concave
Hessian type elliptic equations on Riemannian manifolds. By applying a new method
for $C^2$ estimates, we can weaken some conditions, which works for some non-concave
equations. Gradient estimates are also obtained. 相似文献
10.
Feng-Yu Wang 《Probability Theory and Related Fields》1994,98(3):299-306
Summary By using coupling methods, some lower bounds are obtained for the first Neumann eigenvalue on Riemannian manifolds. This method is new and the results improve some known estimates. An example shows that our estimates can be sharp.Research supported in part by the Foundation of Beijing Normal University 相似文献
11.
L2 estimates are obtained for some oscillatory singular integral operators with analytic phrases by using the technology of almost orthogonality, oscillatory estimates and size estimates. 相似文献
12.
增长曲线模型回归系数线性估计的泛容许性 总被引:7,自引:0,他引:7
本文讨论增长曲线模型回归系数的线性估计的容许性.我们给出了回归系数线性估计的泛容许性定义,并在某些线性估计类中得到了泛容许估计的充要条件. 相似文献
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14.
冯康在文[2]中证明了三角形单元C上一次Lagrange型插值函数U与被插函数u的误差估计为:这里θ为三角单元C的最大内角,h为最大边长.本文将该结果推广至二次Lagrange型插值多项式。并得到了相应的误差估计。 相似文献
15.
R. Shamoyan R. Zhao 《Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)》2008,43(3):179-193
Sharp estimates for some multifunctional analytic expressions and multilinear operators are given, generalizing the corresponding estimates for a single function or for a linear operator. 相似文献
16.
We prove some new Strichartz estimates for a class of dispersive equations with radial initial data. In particular, we obtain the full radial Strichartz estimates up to some endpoints for the Schrödinger equation. Using these estimates, we obtain some new results related to nonlinear problems, including small data scattering and large data LWP for the nonlinear Schrödinger and wave equations with radial critical initial data and the well-posedness theory for the fractional order Schrödinger equation in the radial case. 相似文献
17.
本文研究的是带变系数的一般型线性发展方程.首先建立了其基本解的一系列色散估计:Kato光滑型估计,极大函数估计及Strichartz估计.最后应用这些估计研究了一些非自治非线性色散方程的初值问题在H~s(R)空间中的局部可解性. 相似文献
18.
In this paper, we give some results on error estimates of approximate solutions to parametric vector quasiequilibrium problems
in metric linear spaces. Under some special cases, the error estimates are equivalent to H?lder stability or Lipschitz stability
of the set-valued solution map at a given point. An application to variational inequalities is also presented. 相似文献
19.
Y. L. Xin 《Calculus of Variations and Partial Differential Equations》2015,54(2):1995-2016
We study some basic properties of translating solitons: the volume growth, generalized maximum principle, Gauss maps and certain functions related to the Gauss maps. Finally we carry out point-wise estimates and integral estimates for the squared norm of the second fundamental form. These estimates give rigidity theorems for translating solitons in the Euclidean space in higher codimension. 相似文献
20.
研究了周期区域上平衡态附近Landau-Fermi-Dirac方程的Cauchy问题.利用宏观-微观分解以及局部的守恒律得到一致空间能量估计.接着结合对非线性碰撞算子的细致估计,推导了包含随时间演化的等价瞬时能量的非线性能量估计,进而得到一致的先验估计.最后通过局部存在性、一致的先验估计以及连续性技巧,得到了Landau-Fermi-Dirac方程平衡态附近整体光滑解的存在性. 相似文献