摘要
在RN的有界域上,研究一类广义非自治非线性Kirchhoff型方程■的拉回吸引子的存在性.为得到拉回吸引子的存在性,首先证明方程在(H2∩H01)×H10的整体解,随后进一步证明存在拉回吸收集,最后证明满足条件(PDC),从而得到方程对应的过程{U(t,τ)}在相空间(H2∩H01)×H01中存在拉回吸引子.
The existence of pullbak attractors for a class of generalized non-autonomous nonlinear Kirchhoff type equations on bounded domains of ■ was studied. In order to obtain the existence of the pullback attractors,firstly,we prove the global solution of the equation,then the existence of the pullback absorbing set is obtained,and by proving the condition( PDC),the existence of the pullback attractor of the process{ U(t,τ)} in the phase space(H2∩H01)× H01 is acquired.
作者
吕鹏辉
吕小俊
杨吉根
LV Penghui;LV Xiaojun;YANG Jigen(College of Information,Tourism and Cultural College Yunnan University,Lijiang,Yunnan,China674199)
出处
《昆明学院学报》
2019年第6期78-84,共7页
Journal of Kunming University
基金
国家自然科学基金资助项目(11161025)
云南大学旅游文化学院重点资助项目(2015XYZ03)
