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61.
This Note is devoted to the proof of convex Sobolev (or generalized Poincaré) inequalities which interpolate between spectral gap (or Poincaré) inequalities and logarithmic Sobolev inequalities. We extend to the whole family of convex Sobolev inequalities results which have recently been obtained by Cattiaux, and Carlen and Loss for logarithmic Sobolev inequalities. Under local conditions on the density of the measure with respect to a reference measure, we prove that spectral gap inequalities imply all convex Sobolev inequalities including in the limit case corresponding to the logarithmic Sobolev inequalities. To cite this article: J.-P. Bartier, J. Dolbeault, C. R. Acad. Sci. Paris, Ser. I 342 (2006). 相似文献
62.
63.
64.
65.
Jean Picard 《Probability Theory and Related Fields》1989,81(3):383-452
Summary In this work, one considers two stochastic integral equations indexed by some parameter and one studies the contiguity of their solutions when the parameter converges to some 0. Two types of behaviour are described; they lead to the notion of regular and singular perturbations. The method which is used also enables a study of the rate of convergence. Applications to time discretization of equations are given. 相似文献
66.
Costas Courcoubetis Panagiotis Konstantopoulos Jean Walrand Richard R. Weber 《Queueing Systems》1989,5(1-3):37-54
Consider a production system that consists ofm machines each of which can produce parts ofn types. When machinek is used, it produces a part of typei with probabilityp
ki
. Requests arrive for parts, one at a time. With probability
i
an arriving request is for a part of typei. The requests must be served without waiting. Thus, if a requested part is not available, it must be produced. We find necessary and sufficient conditions for the existence of a strategy (a choice of the machines to be used) which makes the inventory of parts stable and we provide such a strategy.Two variations of this model are also considered: the case of batch arrivals of requests, and that of a system where the requests can be queued. 相似文献
67.
In this paper we prove results in resonance scattering for the Schrödinger operatorP
v=–h
2+V, V being a smooth, short range potential onR
n
. More precisely, for energy near a trapping energy level 0 for the classical system defined by the Hamiltonianp(x,)=
2+V(x), we prove that the scattering phase and the scattering cross sections associated to (P
v, P0) have the Breit-Wigner form (Lorentzian line shape) in the limith0. 相似文献
68.
69.
P. Goya A. Martinez C. Ochoa M. Stud M.L. Jimeno C. Foces-Foces F.H. Cano M. Martinez-Ripoll 《Tetrahedron》1985,41(15):3105-3116
Bisthiadiazinylmethane derivatives obtained from 1,2,6-thiadiazine 1,1-dioxides and formaldehyde, undergo unusual intramolecular cyclizations to thiadiazino [4,3-g] [2,1,3] benzothiadiazine tetraoxides. The structures of the newly synthesized compounds are discussed on the basis of 1H and 13C-NMR data and X-ray analysis. 相似文献
70.
J. Martinez Salazar R. K. Bayer T. A. Ezquerra F. J. Baltá Calleja 《Colloid and polymer science》1989,267(5):409-413
The morphology and structure of high molecular weight linear polyethylene (M
w 450000) filled with carbon black and processed using molds that introduce an elongational flow component during injection molding has been examined using electron microscopy and x-ray diffraction techniques. The study of fracture surfaces reveals the display of shish-kebabs oriented along the injection direction with segregated longitudinal channels of carbon black particles. Molecular and lamellar changes in orientation are, furthermore, studied across the thickness of the moldings. It is shown that addition of carbon black particles to injection-molded polyethylene induces significant changes in lamellar orientation. Thus, while lamellar overgrowth proceeds perpendicular to the fiber axes within carbon free channels, lamellae grow randomly within carbon-enriched regions where flow is less pronounced. 相似文献