Báo cáo hóa học: "Research Article A Hardy Inequality with Remainder Terms in the Heisenberg Group and the Weighted Eigenvalue Problem" docx

... Journal of Inequalities and Applications [9] J.L.V ´ azquez and E. Zuazua, The Hardy inequality and the asymptotic behaviour of the heat equation with an inverse-square potential,” Journal of ... other eigenvalues change sign. Our proof is mainly based on a Hardy inequality with remainder terms. It is established by the vec- tor field method and an elementary in...

Ngày tải lên: 22/06/2014, 11:20

... Applications Volume 2007, Article ID 32585, 24 pages doi:10.1155/2007/32585 Research Article A Hardy Inequality with Remainder Terms in the Heisenberg Group and the Weighted Eigenvalue Problem Jingbo ... Ω, then the constant C Q,p is best. In this section, we give the Hardy inequality with remainder terms on Ω, based on the careful Hindawi Pub...

Ngày tải lên: 22/06/2014, 11:20

... Wissenschaften, Springer, Berlin, Germany, 2nd edition, 1983. 18 O. A. Lady ˇ zenskaja,V .A. Solonnikov,andN.N.Uralceva,Linear and Quasi-linear Equations of Parabolic Type, American Mathematical Society, ... variational inequalities,” Archive for Rational Mechanics and Analysis, vol. 51, pp. 321–346, 1973. 16 A. Friedman, Variational Principles and Free-Boundary Problems, Pure an...

Ngày tải lên: 21/06/2014, 05:20

... coordinates of the original data in the new space are uncorrelated and the greatest amount of the variance of the original data is kept by only a few coordinates. The principal components can be obtained ... standard method in the image compression applications. In the wavelet compression, the image data is transformed and compressed as a single data object rat...

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... for all a, bR 2 . On the other hand, we have Inf fu > 0, and therefore, previous inequality indicates that g u is complete. Now, the result follows from the parametric case. With an analogous ... Inequalities and Applications 3.2. The Gauss Curvature of a Spacelike Surface From the Gauss equation of a spacelike surface S in M and taking in mind the expressi...

Ngày tải lên: 21/06/2014, 07:20

... Communications and Networking 5 original data. Statistical analysis in [ 12] shows that the coded data have high randomness at the byte level. Based on this statistical characteristic of media data, we ... stores large-volume media data and plays them back according to requirements of users, plays an important role in a video conference system. Since the media data stored in...

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... result allows a spatial integration of the OCIF leading to closed-form formula for the global outage probability and for the spatial outage probability. At last, this approach allows us to quantify cell ... that a new user, initiating a new call at a given distance, implies an outage. As an example, a new user in a cell with already 16 ongoing calls, will cause outage...

Ngày tải lên: 21/06/2014, 11:20

... Fixed Point Theory and Its Application, Yokohama, Yokohama, Japan, 2000. 2 L C. Ceng and J C. Yao, “Relaxed viscosity approximation methods for fixed point problems and variational inequality ... nonlinear mappings in Hilbert space,” Journal of Mathematical Analysis and Applications, vol. 20, pp. 197–228, 1967. 8 F. Liu and M. Z. Nashed, “Regularization of nonlinear Ill-posed...

Ngày tải lên: 21/06/2014, 20:20

... kernel was used, as it has some advantages compared to the linear SVM and others. The data for the SVM training was automatically scaled to zero mean and unit variance, and the free parameters ... For each such segment and each feature the following statistical parameters are computed: (i) Mean value and standard deviation of the feature across the segment. (ii) Mean v...

Ngày tải lên: 21/06/2014, 20:20

... 2007. 18 A. Najati and C. Park, “Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras associated to the Pexiderized Cauchy functional equation,” Journal of Mathematical Analysis and Applications, ... and a problem of Ulam,” Acta Applicandae Mathematicae, vol. 62, pp. 23–130, 2000. 23 Th. M. Rassias, “On the stability of functional equations in Banach spa...

Ngày tải lên: 21/06/2014, 20:20