منابع مشابه
A More General Version of the Costa Theorem
In accordance with the Costa theorem, the interference which is independent of the channel input and known non-causally at the transmitter, does not affect the capacity of the Gaussian channel. In some applications, the known interference depends on the input and hence has some information. In this paper, we study the channel with input dependent interference and prove a capacity theorem that n...
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Let K ⊂ Rmn be a compact and convex set of m×n matrices and let {uj} be a sequence in W 1,1 loc (Rn;Rm) that converges to K in the mean, i.e. ∫ Rn dist(Duj , K) → 0. I show that there exists a sequence vj of Lipschitz functions such that ‖dist(Dvj , K)‖∞ → 0 and L({uj 6= vj}) → 0. This refines a result of Kewei Zhang (Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 19 (1992), 313-326), who showed that...
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0. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .2 1. Notation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2. Statement of Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 3. Order Relations Involving Multi–indices . . . . . . . ....
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2012
ISSN: 0377-0427
DOI: 10.1016/j.cam.2012.02.021