共查询到20条相似文献,搜索用时 15 毫秒
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Bixiang WANG 《Frontiers of Mathematics in China》2009,4(3):563
We study the long time behavior of solutions of the non-autonomous reaction-diffusion equation defined on the entire space Rn when external terms are unbounded in a phase space. The existence of a pullback global attractor for the equation is established in L2(Rn) and H1(Rn), respectively. The pullback asymptotic compactness of solutions is proved by using uniform a priori estimates on the tails of solutions outside bounded domains. 相似文献
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基于相空间Green函数的生成泛函,导出了非定域变换下正则形式的Ward恒等式.用于非AbelChern-Simons(CS)理论,得到了正规项角间的一些关系式.这里给出的形式的显著优点在于匆需作出相空间生成泛函中对正则动量的路径积分.在非AbelCS理论中的非定域变换下,仅要求和不变,即可导出正规顶角间的一些关系式. 相似文献
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We consider the voter model with flip rates determined by {μ e , e ∈ E d }, where E d is the set of all non-oriented nearest-neighbour edges in the Euclidean lattice ? d . Suppose that {μ e , e ∈ E d } are independent and identically distributed (i.i.d.) random variables satisfying μ e ≥1. We prove that when d = 2, almost surely for all random environments, the voter model has only two extremal invariant measures: δ 0 and δ 1. 相似文献
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In this series of papers, we introduce τ-categories, which are additive categories with some kind of Auslander–Reiten sequences.
We apply them to study the category of lattices over orders. In this first paper, we study minimal projective resolutions
in functor categories over τ-categories. Then we give a structure theorem of completely graded τ-categories using mesh categories.
Presented by K. Roggenkamp
Mathematics Subject Classifications (2000) primary 16G30; secondary 16E65, 16G70, 18E05.
Osamu Iyama: Current address: Department of Mathematics, University of Hyogo, Himeji, 671-2201, Japan. e-mail: iyama@sci.u-hyogo.ac.jp. 相似文献
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李玉成 《数学物理学报(A辑)》2000,20(2):235-239
该文考虑方程组
t(ux - vy - wt ) + w = 0 (H)
uy = -vx, ut = -wx, vt = wy
的解f = u + iv + jt ∈C2,找到(H)可解的一个充要条件,并讨论相关边值问题解的存在性和积分表示,推广了1992年H. Leutwiler[1]的结果. 相似文献
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前些年的举足失措和犹豫不决已经成为过去,美国工业目前正发起全面反击,以求在质量方面缩短日本公司在近十年时间里拉开的距离。某些行业与日本的质量竞赛已取得显著成功,尤其是电视机和半导体行业,尽管这些成绩还没有被顾客普遍意识到。许多专家相信,如果质量运动的势头继续以 相似文献
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We introduce the generalized area operators by using nonnegative measures defined on upper half-spaces ? + n + 1 . The characterization of the boundedness and compactness of the generalized area operator from Lp(? n ) to Lq(? n ) is investigated in terms of s-Carleson measures with 1<p, q<+∞. In the case of p = q = 1, the weak type estimate is also obtained. 相似文献
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In this paper, by Laplace transform version of the Trotter-Kato approximation theorem and the integrated C-semigroup introduced by Myadera, the authors obtained some Trotter-Kato approximation theorems on exponentially bounded C-semigroups, where the range of C (and so the domain of the generator) may not be dense. The authors deduced the corresponding results on exponentially bounded integrated semigroups with nondensely generators. The results of this paper extended and perfected the results given by Lizama, Park and Zheng. 相似文献
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)(陈柏辉,李安民)FloerCohomologyofLagrangianIntersection:I~*(T~n,RP~n:CP~n)FloerCohomologyofLagrangianIntersection:I~*(T~n,RP~n:CP~n)¥)C... 相似文献
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In these comments on the excellent survey by Dinh and Jeyakumar, we briefly discuss some recently developed topics and results on applications of extended Farkas’ lemma(s) and related qualification conditions to problems of variational analysis and optimization, which are not fully reflected in the survey. They mainly concern: Lipschitzian stability of feasible solution maps for parameterized semi-infinite and infinite programs with linear and convex inequality constraints indexed by arbitrary sets; optimality conditions for nonsmooth problems involving such constraints; evaluating various subdifferentials of optimal value functions in DC and bilevel infinite programs with applications to Lipschitz continuity of value functions and optimality conditions; calculating and estimating normal cones to feasible solution sets for nonlinear smooth as well as nonsmooth semi-infinite, infinite, and conic programs with deriving necessary optimality conditions for them; calculating coderivatives of normal cone mappings for convex polyhedra in finite and infinite dimensions with applications to robust stability of parameterized variational inequalities. We also give some historical comments on the original Farkas’ papers. 相似文献
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集值Superpramart的上鞅逼近 总被引:3,自引:2,他引:1
宋卫东 《数学物理学报(A辑)》2000,20(2):158-162
文中讨论了可积随机集条件期望的若干性质,在此基础上,给出了集值Superpramart的上鞅逼近.同时,证明了集值Superpramart在Kuratowski-Mosco意义下的收敛定理. 相似文献