摘要
通过逼近问题和截断函数,构造一个逼近序列,使其极限为问题的重整化解,即证明带有非强制性低阶项的非线性抛物问题的重整化解存在性,其右端项以及初始值均具有可积数据,这一问题区别于其他一般问题在于:方程左端项带有一个低阶项,其在Sobolev空间中没有强制性.
In the report,the approximate problem and truncation function were used to construct an approximate sequence,and whose limit was the renormalized solutions of the problem.The existence of renormalized solutions for the nonlinear and noncoercive parabolic problem with integrable data was proved.The problem was different from other general problems in that the left side of the equation has a lower order term,which is lack of coercivity in Sobolev space.
作者
李姝静
许少鹏
Li Shujing;Xu Shaopeng(College of Science,Hainan University,Haikou 570228,China)
出处
《海南大学学报（自然科学版）》
CAS
2023年第2期121-132,共12页
Natural Science Journal of Hainan University
基金
海南省自然科学基金(122MS002)
海南大学科研启动基金(KYQD(ZR)-20094)。
关键词
重整化解
存在性
非强制项
可积数据
renormalized solutions
existence
lower order terms
integrable data
