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排序方式: 共有169条查询结果,搜索用时 31 毫秒
1.
张宗劳 《南昌大学学报(理科版)》2004,28(3):208-209
借助于Hessian比较定理和上下解方法,证明了对于相当多的一类非负函数f,负曲率完备黎曼流形上的方程△u=f都存在有界的整体解,从而刻画了这些黎曼流形的双曲性程度。 相似文献
2.
Due to the complexity of compressible flows, nonlinear hydrodynamic stability theories in supersonic boundary layers are not sufficient. In order to reveal the nonlinear interaction mechanisms of the rapidly amplified 3-D disturbances in supersonic boundary layers at high Mach numbers, the nonlinear evolutions of different disturbances in flat-plate boundary layers at Mach number 4.5, 6 and 8 are analyzed by numerical simulations. It can be concluded that the 3-D disturbances are amplified rapidly when the amplitude of the 2-D disturbance reaches a certain level. The most rapidly amplified 3-D disturbances are Klebanoff type (K-type) disturbances which have the same frequency as the 2-D disturbance. Among these K-type 3-D disturbances, the disturbances located at the junction of upper branch and lower branch of the neutral curve are amplified higher. Through analyzing the relationship between the amplification rate and the spanwise wavenumber of the 3-D disturbances at different evolution stages, the mechanism of the spanwise wavenumber selectivity of K-type 3-D disturbances in the presence of a finite amplitude 2-D disturbance is explained. 相似文献
3.
A subset of the -dimensional torus is called a set of uniqueness, or -set, if every multiple trigonometric series spherically converging to outside vanishes identically. We show that all countable sets are -sets and also that sets are -sets for every . In particular, , where is the Cantor set, is an set and hence a -set. We will say that is a -set if every multiple trigonometric series spherically Abel summable to outside and having certain growth restrictions on its coefficients vanishes identically. The above-mentioned results hold also for sets. In addition, every -set has measure , and a countable union of closed -sets is a -set.
4.
D. S. Telyakovskii 《Mathematical Notes》1996,60(6):681-687
Functions of one complex variable that satisfy a weakened asymptotic monogeny condition are proved to be holomorphic.
Translated fromMatematicheskie Zametki, Vol. 60, No. 6, pp. 902–911, December, 1996.
The author thanks Proffessor Dolzhenko for discussing the results of the paper.
The research was supported by the Russian Foundation for Basic Research under grant No. 93-01-00236. 相似文献
5.
Let
be a sequence of complex numbers such that
as
. For
close to the imaginary axis, upper bounds of the indicator of a nonzero entire function of exponential type with minimal growth vanishing on
is obtained. These bounds give sufficient conditions for the system of exponents
to be incomplete in an unbounded domain in
. 相似文献
6.
7.
Thomas Ransford 《Set-Valued Analysis》1999,7(2):159-194
We show how the theory of analytic multifunctions can be developed in an elementary and self-contained fashion, using the abstract notions of gauge and multigauge. This approach also yields new information about the metric properties of analytic multifunctions, leading to analogues of Schwarz's lemma and the Schwarz–Pick theorem. 相似文献
8.
We obtain exact lower bounds of the upper limits of ratios of the Nevanlinna characteristics of a delta-subharmonic function in the upper half-plane. 相似文献
9.
(M, g)是黎曼曲面,该文给出了M上函数的Φ- Dirichlet积分的定义,并在此基础上得到了一个关于具有有限的Φ - Dirichlet积分的Φ -次调和函数的有界性定理. 相似文献
10.
The authors extend some well-known Morse estimates for critical points of saddle point type to some linking conditions recently
considered in the literature. Applications are given for multiplicity results in PDE and existence of subharmonic solutions
for a class of conservative ODE.
Research supported by Program STRIDE (contract STRDA/C/CEN/531/92) and EC (contract ERBCHRXCT940555). 相似文献