Jiaojiao Wang, Changchun Liu
Abstract:
We consider an initial-boundary-value problem for a class of p-biharmonic
parabolic equation with logarithmic nonlinearity in a bounded domain.
We prove that if
and
,
the problem has
a global weak solutions; if
and
,
the solutions blow up at finite time.
We also obtain the results of blow-up, extinction and non-extinction of
the solutions when
.
Submitted July 26, 2018. Published January 22, 2019.
Math Subject Classifications: 35K35, 35A01, 35K55.
Key Words: p-biharmonic parabolic equation; blow-up; decay; extinction;
non-extinction.
Show me the PDF file (298 KB), TEX file for this article.
Jiaojiao Wang School of Mathematics Jilin University Changchun 130012, China email: wjj16@mails.jlu.edu.cn | |
Changchun Liu School of Mathematics Jilin University Changchun 130012, China email: liucc@jlu.edu.cn |
Return to the EJDE web page