The regularity and exponential decay of solution for a linear wave equation associated with two-point boundary conditions

This paper is concerned with the existence and the regularity of global solutions to the linear wave equation associated with two-point type boundary conditions. We also investigate the decay properties of the global solutions to this problem by the construction of a suitable Lyapunov functional.Comment: 18 page

Full-Duplex Relay with Jamming Protocol for Improving Physical-Layer Security

This paper proposes a jointly cooperative relay and jamming protocol based on full-duplex (FD) capable relay to increase the source-destination secrecy rate in the presence of different types of eavesdroppers. In this so called \textit{FD-Relay with jamming (FDJ)} protocol, the FD-Relay, first, simultaneously receives data and sends jamming to the eavesdropper, and, then, forwards the data, while the source jams the eavesdropper. Achievable secrecy rates of the proposed FDJ in presence of different eavesdropper types and self-interference (SI) are derived and compared with those of the traditional half-duplex (HD) relay. The adaptive power allocation for secrecy rate maximization in a multi-carrier scenario for both proposed FDJ and HD-Relay is formulated as a non-convex optimization problem and corresponding iterative solution algorithm is developed using the difference-of-two-concave-functions (DC) programming technique. The simulation results confirm that FDJ offers significant improvements in the secrecy rate over the HD-Relay.Comment: PIMRC 201

Existence, blow-up and exponential decay estimates for a nonlinear wave equation with boundary conditions of two-point type

This paper is devoted to study a nonlinear wave equation with boundary conditions of two-point type. First, we state two local existence theorems and under suitable conditions, we prove that any weak solutions with negative initial energy will blow up in finite time. Next, we give a sufficient condition to guarantee the global existence and exponential decay of weak solutions. Finally, we present numerical resultsComment: 2

SOME ARTISTIC SIMILARITIES BETWEEN THE XO DANG EPIC AND THE BAHNAR EPIC

The epics told by two ethnic groups, the Xo Dang and the Bahnar, belong to the Central Highlands epic region and have similarities in content and form. This article introduces some basic general features of the Xo Dang and Bahnar epics in terms of theme, plotline, and characterization, and analyzes the cause and meaning of the similarities. We use comparative, interdisciplinary research methods to clarify the similarities in the epic art of the two ethnic groups, thereby showing the unity in the diversity of the epic region of the Central Highlands.The epics told by two ethnic groups, the Xo Dang and the Bahnar, belong to the Central Highlands epic region and have similarities in content and form. This article introduces some basic general features of the Xo Dang and Bahnar epics in terms of theme, plotline, and characterization, and analyzes the cause and meaning of the similarities. We use comparative, interdisciplinary research methods to clarify the similarities in the epic art of the two ethnic groups, thereby showing the unity in the diversity of the epic region of the Central Highlands