【摘要】 研究一类带记忆边界条件的科尔霍夫型波方程,主要讨论其整体解的存在唯一性及能量的衰减性.利用Galerk in近似方法研究方程解的存在唯一性,然后引入松驰函数,利用扰动能量方法证明系统能量的衰减.更多还原

【Abstract】 A class of nonlinear wave equations of Kirchhoff type with memory condition at the boundary are discussed in this paper.The existence and uniqueness of global solutions for the equations are established by Galerkin’s approximation method.Then,by using of perturbed energy method it is proved that the energy decay has the same rate as that of the relaxation function.更多还原