‎In this paper‎, ‎we study the Neumann boundary value problem of a class of nonlinear divergence type diffusion equations‎. ‎By a priori estimates‎, ‎difference and variation techniques‎, ‎we establish the existence and uniqueness of weak solutions of this problem.

There are many information and divergence measures exist in the literature on information theory and statistics. The most famous among them are Kullback-Leiber’s [17] relative information and Jeffreys [16] J-divergence, Information radius or Jensen difference divergence measure due to Sibson [23]. Burbea and Rao [3, 4] has also found its applications in the literature. Taneja [25] studied anoth...

the spontaneous generation of inertia–gravity waves (igws) in the idealized simulation of vortical flows is investigated using the isentropic two-layer model on a sphere. the contour-advective semi-lagrangian (casl) algorithm is applied to solve the primitive equations using the potential vorticity (pv), velocity divergence, and acceleration divergence as the prognostic variables. the casl algo...

In this paper, we review and extend a family of log-det divergences for symmetric positive definite (SPD) matrices and discuss their fundamental properties. We show how to generate from parameterized Alpha-Beta (AB) and Gamma log-det divergences many well known divergences, for example, the Stein’s loss, S-divergence, called also Jensen-Bregman LogDet (JBLD) divergence, the Logdet Zero (Bhattac...

In this paper, we seek for a single best representative of a set of statistical multivariate normal distributions. To define the “best” center, we consider either minimizing the average or the maximum relative entropy of the center to the given set of normal distributions. Since the relative entropy is an asymmetric divergence, this yields the notion of leftand right-sided, and symmetrized entr...

Abstract We examine the role of information geometry in context classical Cramer–Rao (CR) type inequalities. In particular, we focus on Eguchi's theory obtaining dualistic geometric structures from a divergence function and then applying Amari–Nagoaka's to obtain CR inequality. The deterministic inequality is derived Kullback–Leibler (KL) divergence. show that this framework could be generalize...

Vajda (1972) studied a generalized divergence measure of Csiszar's class, so called "Chi-m divergence measure." Variational distance and Chi-square divergence are the special cases of this generalized divergence measure at m = 1 and m = 2, respectively. In this work, nonparametric nonsymmetric measure of divergence, a particular part of Vajda generalized divergence at m = 4, is taken and charac...

after islamic revolution of 1979, the left wing had a new sphere to act in political eras, and overcastted on the other groups, but as soon as possible, the unreligious left leaved the political scene of iran after revolution. it seems the religious groups –as the only legal political actors- are integrated under “islamic republic party” but so soon, we saw the distinction between them all. jus...

Abstract. In this paper we shall consider one parametric generalization of some nonsymmetric divergence measures. The non-symmetric divergence measures are such as: Kullback-Leibler relative information, χ2−divergence, relative J – divergence, relative Jensen – Shannon divergence and relative Arithmetic – Geometric divergence. All the generalizations considered can be written as particular case...