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Let μ be a smooth measure with a quasi regular Dirichlet form, A μ be its non negative additive functional,and U α A μ be the α Potential operator of A μ.

设μ是拟正则狄氏型的光滑测度,Aμ是其对应的非负连续可加泛函,UαAμ是Aμ的α位势算子,本文证明了测度μUαAμ关于μ的绝对连续性,并以R-N导数dμUαAμdμ刻划了μ具有有限能量积分的条件。

The first SVD mode shows that the anomalous heating in northern Kuroshio is associated with anomalously low geopotential height in the central and western parts of the North Pacific at 500 hPa.

第1对奇异向量占总方差的86.24%,表现为黑潮北部海域异常多的放热和北太平洋中西部的500hPa位势高度场异常低。

Now we study the properties of four multi-layer potentials and their high deriva-tives of biharmonic equation in the plane when they approach the boundary of adomain.

我们研究了重调和方程四种多层位势及其高阶微商在边界附近的性质,得到了这些微商新的表达式,从而将重调和方程的自由边值问题归化为新的边界积分-微分方程组。

Some statistics of the 500 hPa geopotential height in a 10—year sample are redrawn from Blackmon, 1976, Figs.

根据 10 年样本资料计算的 500 百帕位势高度场的某些统计量。

Fig.8. Some statistics of the 500 hPa geopotential height in a 10—year sample are redrawn from Blackmon, 1976, Figs.

图8。 根据10年样本资料计算的500百帕位势高度场的某些统计量。

Finally, using a new iterative method, a variant of Kaniel-Shinbrot iterative method, we prove the existence and uniqueness of eternal solution to Boltzmann equation for the hard interactions and rigid spheres model.

最后,本文利用一种新的迭代方法(有别于Kaniel-Shinbrot迭代)在硬位势和硬球模型情形下证明了Boltzmann方程永久型解的存在唯一性。

Methods Fast Multipole Boundary Element Method ,the method of solving the singularity,and the method of Laplace Transformation.

目的研究基于多极边界元法的三维位势问题解的奇异性处理方法。

It is shown that in Jameson's algorithm is not an orthogonal stream-lines coordinate system, but a local stream-lines coordinate system instead. Nevetheless, because of the finite-difference discretization in Jameson's scheme is not carried out along the direction of s and n, but along the Cartesian coordinates, the analysis on all terms of the full potential equation in Cartesian coordinates reveals that his scheme does take a back-ward difference along the streamwise exactly at all points in the supersonic flow region.

表明其所采用的坐标系不是真正的正交流线坐标系,而是局部流线坐标系;同时由于Jameson方法并不对s,n进行差分离散,而是在原笛卡尔坐标系下作差分离散,对笛卡尔坐标系下的全位势方程中的各项的分析表明,Jameson方法恰好能做到在超音速点沿真正的流线方向作后差分。

In this paper,we study the Cauchy problem of nonlinear Klein-Gordonequations By introducing a family of potential wells, we not only give a threshold resultof global existence and nonexistence of solutions, but also obtain the vacuumisolating of solutions.

本文研究了以下非线性K1ein-Gordon方程的柯西问题通过引进一族位势井,不仅得到了该问题解的整体存在性与不存在的门槛结果,而且也得到了解的真空隔离现象。

The strongly negative correlation between winter sea-ice extent of Davis Strait and August rainfall of North China turns into bad correlation.

冬季戴维斯海峡海冰面积和北半球夏季、7月500Hpa位势高度场年际关系的年代际变化主要是相关系数分布型的变化:1974年前,相关系数分布型呈一个自新地岛开始经巴尔喀什湖到日本海的&-+-&型,该型和同期华北降水的反相关较好;1974年后,相关系数分布型变为呈自乌拉尔山开始经贝加尔湖到河套的&+-&型,该型和同期华北降水相关差。1974年前,冬季戴维斯海峡海冰面积和北半球8月500Hpa位势高度场的相关系数呈一个自乌拉尔山开始到鄂霍次克海以北分布的&+-+&型,该型和8月华北降水的反相关较好;1974年后,相关在欧亚大陆地区变差,没有明显的相关型,冬季戴维斯海峡海冰面积和8月华北降水关系变差。

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