A class of fourth-order parabolic equation with logarithmic nonlinearity

作者：Li, Pingping; Liu, Changchun^*

来源：JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018, 2018(1): 328.

DOI：10.1186/s13660-018-1920-7

• Global existence
• Blow-up
• Logarithmic source term

In this paper, we study a class of fourth-order parabolic equation with the logarithmic nonlinearity. By using the potential well method, we obtain the existence of the unique global weak solution. In addition, we also obtain results of decay and blow-up in the finite time for the weak solution.

• 出版日期2018-11-27
• 单位吉林大学