具有记忆的非线性波方程解的存在唯一性及衰减率  

Existence and Decay Rate of Unique Solution for Nonlinear Wave Equations with Memory

作　　者：秦娜娜 马巧珍 QIN Nana;MA Qiaozhen(School of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《应用数学》2023年第3期739-746,共8页Mathematica Applicata

基　　金：国家自然科学基金(11961059)。

摘　　要：利用Faedo-Galerkin逼近方法并结合Banach压缩映射定理,具有内部强阻尼和线性记忆的非线性波方程解的存在唯一性被证明.然后,在记忆核函数是凸的条件下获得了能量的衰减率.We prove existence and uniqueness of solution for the nonlinear wave equation with inter strong damping and memory according to the Faedo-Galerkin approximation scheme along with the Banach contraction mapping theorem.After that,we get the decay rate of the energy under the condition that the kernel function is convex.

关 键 词：衰减率 粘弹性波方程 能量衰减 全局解 

分 类 号：O175.29[理学—数学]