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51.
In this work, we will take the standard Gaussian measure as the reference measure and study the variation of optimal transport maps in Sobolev spaces with respect to it; as a by-product, an inequality which gives a precise link between the variation of entropy, Fisher information between source and target measures, with the Sobolev norm of the optimal transport map will be given. As applications, we will construct strong solutions to Monge–Ampère equations in finite dimension, as well as on the Wiener space, when the target measure satisfies the strong log-concavity condition. A result on the regularity on the optimal transport map on the Wiener space will be obtained. 相似文献
52.
Christian Kassel 《K-Theory》1989,3(4):367-400
We construct a bivariant Chern character with values in Jones-Kassel's bivariant cyclic cohomology. This is done forK-theoretic objects such as idempotents, bimodules, quasi-homomorphisms à la Cuntz and extensions of algebras. 相似文献
53.
Ying Xia Sheng Feng Zhen Liu Yan Zhang Jianbo Wang 《Angewandte Chemie (Weinheim an der Bergstrasse, Germany)》2015,127(27):8002-8005
A RhI‐catalyzed three‐component reaction of tert‐propargyl alcohol, diazoester, and alkyl halide has been developed. This reaction can be considered as a carbene‐involving sequential alkyl and alkynyl coupling, in which C(sp) C(sp3) and C(sp3) C(sp3) bonds are built successively on the carbenic carbon atom. The RhI‐carbene migratory insertion of an alkynyl moiety and subsequent alkylation are proposed to account for the two separate C C bond formations. This reaction provides an efficient and tunable method for the construction of all‐carbon quaternary center. 相似文献
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We consider singular perturbation problems depending on a parameter ε?0 such that for ε>0 the solution uε belongs to a Sobolev space on a domain , but the limit u0 is not a distribution on . A very simple model problem, solvable by Fourier transform allows us to study the complexification process of uε as . The limit holds in the topology of a space of analytical functionals. To cite this article: C.A. De Souza, É. Sanchez-Palencia, C. R. Mecanique 332 (2004). 相似文献
57.
结构重分析是与结构优化设计紧密相关的分析环节。位移约束条件、载荷与单元刚度矩阵可修改的精确结构静力重分析是较新的一种方法,文献[1,2]提出其结构静力重分析的列式,这一重分析方法被多篇综述文章引用。本文从另一角度推导结构修改的基本方程,并给出广义柔度矩阵的简便可行算法,推导过程简单明了,力学意义明显。 相似文献
58.
The problem of viscous fluid past an axisymmetric body embedded in a fluid saturated porous medium is studied using the Brinkman's extension. A general formula for the drag on the body is derived in the form of a limit of an expression involving the stream function characterizing the flow. The flow past an axisymmetric approximate sphere is also considered. The stream function in this case is obtained in terms of Bessel functions and Gegenbauer's functions. The drag acting on the body is evaluated by using the formula derived. Its variation is studied with respect to geometric and permeability parameters. The special cases of flow past a sphere and a spheroid are obtained from the present analysis. To cite this article: D. Srinivasa Charya, J.V. Ramana Murthy, C. R. Mecanique 330 (2002) 417–423. 相似文献
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