排序方式: 共有7条查询结果,搜索用时 410 毫秒
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Manseob Lee 《数学学报(英文版)》2016,32(8):975-981
Let f:M~d→M~d(d≥2) be a diffeomorphism on a compact C~∞ manifold on M.If a diffeomorphism f belongs to the C~1-interior of the set of all diffeomorphisms having the barycenter property,then f is Ω-stable.Moreover,if a generic diffeomorphism f has the barycenter property,then f is Ω-stable.We also apply our results to volume preserving diffeomorphisms. 相似文献
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P. A. Storm 《Geometric And Functional Analysis》2006,16(4):959-980
The Besson–Courtois–Gallot theorem is proven for noncompact finite volume Riemannian manifolds. In particular, no bounded
geometry assumptions are made. This proves the minimal entropy conjecture for nonuniform rank one lattices.
This research was partially supported by an NSF Postdoctoral Fellowship.
Received: June 2004; Revision: January 2006; Accepted: March 2006 相似文献
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Adam M. Oberman & Yuanlong Ruan 《计算数学(英文版)》2020,38(6):933-951
We compute and visualize solutions to the Optimal Transportation (OT) problem for
a wide class of cost functions. The standard linear programming (LP) discretization of
the continuous problem becomes intractable for moderate grid sizes. A grid refinement
method results in a linear cost algorithm. Weak convergence of solutions is established and
barycentric projection of transference plans is used to improve the accuracy of solutions.
Optimal maps between nonconvex domains, partial OT free boundaries, and high accuracy
barycenters are presented. 相似文献
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We present a new method for finding positive solutions of nonlinear elliptic equations, which are non-homogeneous and asymptotically linear at infinity, by using projections on a Pohozaev manifold rather than the Nehari manifold associated with the problem. 相似文献
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P. Shvartsman 《Journal of Functional Analysis》2004,210(1):1-42
Let F be a mapping from a metric space into the family of all m-dimensional affine subsets of a Banach space X. We present a Helly-type criterion for the existence of a Lipschitz selection f of the set-valued mapping F, i.e., a Lipschitz continuous mapping satisfying . The proof of the main result is based on an inductive geometrical construction which reduces the problem to the existence of a Lipschitz (with respect to the Hausdorff distance) selector SX(m) defined on the family of all convex compacts in X of dimension at most m. If X is a Hilbert space, then the classical Steiner point of a convex body provides such a selector, but in the non-Hilbert case there is no known way of constructing such a point. We prove the existence of a Lipschitz continuous selector for an arbitrary Banach space X. The proof is based on a new result about Lipschitz properties of the center of mass of a convex set. 相似文献
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《Optimization》2012,61(3):445-453
This paper studies the transient behaviour of tandem queueing system consisting of an arbitrary number r of queues in series with infinite server service facility at each queue. Poisson arrivals with time dependent parameter and exponential service times have been assumed. Infinite server queues realistically describe those queues in which sufficient service capacity exist to prevent virtually any waiting by the customer present. The model is suitable for both phase type service as well services in series. Very elegant solutions have been obtained and it has been shown that if the queue sizes are initially independent and Poisson then they remain independent and Poisson for all t. 相似文献
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