宁夏大学学报（自然科学版）2017，Vol.38Issue(2)：130-134,5.
一类非线性波动方程解的整体存在性和衰减行为
Global Existence and Asymptotic Behavior of Solution for A Class of Nonlinear Wave Equation
摘要
Abstract
The Cauchy problem and asymptotic estimates for n dimension nonlinear wave equation with dissipation and dispersion term is investigated in this paper.The decay estimates of solution to the corresponding linear equation are given by using dyadic decomposition and some properties of Bessel functions.By the contraction mapping principle,the global existence and asymptotic of the small amplitude solution is proved.关键词
波动方程/柯西问题/整体存在性/衰减估计Key words
wave equation/Cauchy problem/global existence/decay estimates分类
数理科学引用本文复制引用
王云青,李梅玲..一类非线性波动方程解的整体存在性和衰减行为[J].宁夏大学学报（自然科学版）,2017,38(2):130-134,5.基金项目
国家自然科学基金资助项目(11171311) （11171311）
