Continuous dependence of solutions for damped improved Boussinesq equation

Authors: SEMA BAYRAKTAR, ŞEVKET GÜR

Abstract: In this paper, the initial-boundary value problem for a damped nonlinear improved Boussinesq equation is studied. A priori estimates for the solution of the equation are obtained in terms of initial data and coefficients of the problem. The continuous dependence of solutions on dispersive $(\delta)$ and $(r)$ and dissipative $(b)$ coefficients are established by multiplier method.

Keywords: Nonlinear damped improved Boussinesq equation, continuous dependence, structural stability

Full Text: PDF