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GLOBAL REGULARITY FOR A MODIFIED CRITICAL DISSIPATIVE QUASI-GEOSTROPHIC EQUATION
GLOBAL REGULARITY A MODIFIED CRITICAL DISSIPATIVE QUASI-GEOSTROPHIC EQUATION
2014/4/3
with κ > 0, α ∈ (0,1] and θ0 ∈ L2(R2). We remark that the extra Λα−1 is introduced in order to make the scaling invariance of this system similar to the scaling invariance of the critical quasi-...
On the inviscid limit of the Navier-Stokes equations
On the inviscid limit the Navier-Stokes equations
2014/4/3
We consider the convergence in the L 2norm, uniformly in time, of the Navier-Stokes equations with Dirichlet boundary conditions to the Euler equations with slip boundary conditions. We prove that if ...
带有非线性边界条件的拟线性方程组正解的存在性
方程组 正解 非线性边界条件
2014/5/5
在这篇文章中,我们讨论了带有非线性边界条件和权函数的的拟线性方程组,主要借助对Nehari流形的分析, 在合适的参数条件下得到了方程组至少有两个不同的非平凡正解.
一类随机时滞微分方程随机θ方法的均方收敛率
non-Lipschitz条件 随机时滞微分方程 随机θ方法 收敛率
2014/5/5
给出了一类随机时滞微分方程随机θ方法的均方收敛率, 这类方程对于时滞项可以不满足Lipschitz条件而仅需要满足一定条件的Hölder连续.
运用倒向随机微分方程与\,$g$\,-期望的相关性质,证明了关于\,$g$\,-期望的\,Markov\,不等式、Chebyshev\,不等式和\,Cantelli\,不等式.
在生成元\,$g$\,关于\,$(y,z)$\,满足对\,$t$\,非一致的\,Lipschitz\,条件下,建立了有限或无限时间终端倒向随机微分方程\,(简称为\,BSDE\,)\,生成元的一个表示定理,并且得到了此条件下\,BSDE\,解 的一个逆比较定理, 推广了一些已有结果.
一类分数阶差分方程边值问题递增正解的存在性
分数阶边界条件 Green函数 严格递增
2014/1/8
在度量空间中利用不动点定理, 研究一类带有分数阶边界条件的分数阶差分方程递增正解的存在性. 借助Green函数的性质, 分别建立了该方程存在唯一递增非负解的充分条件及存在唯一严格递增正解的充分条件.
关于Pucci算子的抛物方程的Liouville定理
Pucci算子 全局解 Liouville型定理
2014/1/9
关于含有Laplace算子的超线性抛物方程的一个经典结果是Liouville型的定理.由于这些定理在应用中的重要性,研究了关于Pucci算子的抛物方程的Liouville型定理.在空间变量为1维的情形下,Pucci算子的性质相对容易分析,对这一特殊情形,证明了对应的抛物方程没有全局有界的正解.
2阶线性非齐次常微分方程的格林函数法
非齐线性常微分方程 两点边值问题 格林函数 解的唯一性
2014/1/9
研究了一类2阶非齐线性常微分方程两点边值问题,并给出方程在相同边界条件不同情况下的格林函数和解的唯一性.
Ricci流下薛定谔方程的Harnack估计
薛定谔方程 梯度估计 Harnack不等式 Ricci流
2014/1/10
利用C.M.Guenther处理热方程的方法证明了,度量沿Ricci流演化的闭流形上薛定谔方程正解的梯度估计和Harnack不等式,从而推广了有关结论.
Optimal relations between Lp-norms for the Hardy operator and its dual
Hardy operator Dual operator Best constants
2012/6/29
We obtain sharp two-sided inequalities between $L^p-$norms $(1
On an inequality for the Riemann zeta-function in the critical strip
Riemann zeta-function size of the Riemann zeta-function new inequalities critical strip
2012/6/30
By using new power inequalities we give an elementary proof of an important relation for the Riemann zeta-function |\zeta(1-s)| <= |\zeta(s)| in the strip 0< Re s<1/2,\ |\Im s| >= 12. Moreover, we est...
Summability of Multi-Dimensional Trigonometric Fourier Series
Hardy spaces Hp-atom interpolation Fourier series circular triangu-lar cubic and rectangular summability
2012/6/30
We consider the summability of one- and multi-dimensional trigonometric Fourier series. The Fej{\'e}r and Riesz summability methods are investigated in detail. Different types of summation and converg...
Mean value properties of harmonic functions on Sierpinski gasket type fractals
Sierpinski gasket Laplacian harmonic function mean value property analysis on fractals
2012/6/27
In this paper, we establish an analogue of the classical mean value property for both the harmonic functions and some general functions in the domain of the Laplacian on the Sierpinski gasket. Further...
On Some Inequalities of Simpson's Type via h-Convex Functions
h− convex and h− concave functions Simpson抯 Inequality Holder nequality
2012/6/21
In this paper, we prove some new inequalities of Simpson's type for functions whose derivatives of absolute values are h-convex and h-concave functions. Some new estimations are obtained. Also we give...