Continuous dependence of solutions for damped improved Boussinesq equation

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 (δ) and (r) and dissipative (b) coefficients are established by multiplier method.