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一类具阻尼项的四阶非线性波动方程的Cauchy问题
  • ISSN号：1001-9847
  • 期刊名称：应用数学
  • 时间：2014.7.15
  • 页码：570-580
  • 分类：O175.29[理学—数学;理学—基础数学] O29[理学—应用数学;理学—数学]
  • 作者机构：[1]中原工学院信息商务学院,河南郑州450007, [2]郑州大学,河南郑州450001
  • 相关基金：国家自然科学基金资助项目（11171311）;河南省基础与前沿技术计划项目（08230041060）
  • 相关项目：高阶非线性波动方程
作者： 宋瑞丽|王书彬|
关键词： 非线性波动方程, Cauchy问题, 整体解, 积分估计, Nonlinear wave equation, Cauchy problem, Global solution, Integral estimate
中文摘要：

本文利用压缩映像原理和积分估计研究一类具阻尼项的四阶非线性波动方程的Cauchy问题小振幅解的整体存在性、唯一性和衰减性。

英文摘要：

The existence,the uniqueness and the asymptotic behavior of solution for the damped nonlinear wave equation of fourth order,are studied by the contraction mapping principle and integral estimates.

同期刊论文项目
高阶非线性波动方程
期刊论文 35
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期刊信息
  • 《应用数学》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:华中科技大学
  • 主编：李大潜
  • 地址：武汉珞喻路1037号华中科技大学逸夫科技大楼南楼902室
  • 邮编：430074
  • 邮箱：yysx_hust@163.com
  • 电话：027-87543831
  • 国际标准刊号：ISSN：1001-9847
  • 国内统一刊号：ISSN：42-1184/O1
  • 邮发代号:38-61
  • 获奖情况:
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  • 被引量:4139