摘要
对一类四阶非线性色散、耗散波动方程的初边值问题进行研究.在非线性项和初值满足一定条件的前提下,利用位势井方法得到其整体强解的存在性,并给出了问题解的某些集合在流之下的不变性.
The initial-boundary value problem for a class of nonlinear dispersive-dissipative wave equations of fourth order were studied. Under some conditions on the nonlinear term and the initial data, by the potential well argument we discuss the existence of global strong solutions and give the invarianee of some sets of the solutions to the problem under the flow.
出处
《河北大学学报(自然科学版)》
CAS
北大核心
2012年第4期337-341,共5页
Journal of Hebei University(Natural Science Edition)
基金
黑龙江省自然科学基金资助项目(A201014)
黑龙江省教育厅科学技术研究项目(12511610)
关键词
非线性波动方程
位势井
整体强解
存在性
nonlinear wave equations
potential well
global solution
existence