Title :
Decay Estimate of Global Solution for Some Nonlinear Wave Equation
Author :
Fen Wang ; Hao Zhou ; Min-le Shangguan
Author_Institution :
Dept. of Math. & Phys., Zhejiang Shuren Univ., Hangzhou, China
Abstract :
This paper deals with initial-boundary problem for some Kirchhoff equations with source and damping terms. First, for convenience, a positive number d, the depth of potential well is defined and we obtain the asymptotic stability of global solution for our problem using the difference inequality which is proposed by M. Nakao.
Keywords :
asymptotic stability; initial value problems; wave equations; Kirchhoff equations; asymptotic stability; difference inequality; global solution decay estimation; initial-boundary problem; nonlinear wave equation; Asymptotic stability; Control engineering; Damping; Information science; Mathematics; Propagation; Asymptotic stability; Global solutions; Initial-boundary value problem; Kirchhoff equation;
Conference_Titel :
Information Science and Control Engineering (ICISCE), 2015 2nd International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4673-6849-0
DOI :
10.1109/ICISCE.2015.158
