Decay rate estimates for wave equations of memory type with acoustic boundary conditions

作者：Park Jong Yeoul; Park Sun Hye^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2011, 74(3): 993-998.

DOI：10.1016/j.na.2010.09.057

• Wave equation
• Acoustic boundary condition
• General decay rate
• Stabilization
• Lyapunov functional

A wave equation of memory type, u ''-Delta u+integral(t)(0) g(t-s)Delta u(s)ds = 0, with acoustic boundary conditions is considered. This work is devoted to investigating the influence of the kernel function g and proving general rates of decay of solutions when g does not necessarily decay exponentially.

• 出版日期2011-2-1