具有边界记忆项波动方程的初边值问题

Initial and Boundary Problem of Wave Equation with Memory Term

摘要: 研究一类具有边界记忆项的非线性波动方程的初边值问题,利用Galerkin方法、紧性原理得到了整体解的存在性,利用补偿能量法得到了解的渐近性.

Abstract: The existence of global solutions for a class of nonlinear wave equation with the memory term was studied by Galerkin method and compact prinple.The asymptotic behavior of the global solution was obtained by use of energy method.