Energy Decay Estimates for the Wave Equation With Logarithmic Feedback
Donghao Li, Chenxia Zhang, Hongwei Zhang
Abstract
ABSTRACT In this paper, a semilinear wave equation with logarithmic feedback is considered. The polynomial decay of the energy is obtained. The method of proof is based on multipliers technique, on a integral inequality, and on some special algebraic inequalities. The results complement those of the literature about logarithmic damping, and it seem to be an interesting problem in the unknown land of weak damping mechanics.
Topics & Concepts
MathematicsLogarithmWave equationEnergy (signal processing)Mathematical analysisApplied mathematicsMathematical physicsStatisticsStability and Controllability of Differential EquationsAdvanced Mathematical Modeling in EngineeringAdvanced Mathematical Physics Problems