A new blow-up condition for semi-linear edge degenerate parabolic equation with singular potentials

作者：Hao, Aijing; Zhou, Jun^*

来源：APPLICABLE ANALYSIS, 2017, 96(3): 363-374.

DOI：10.1080/00036811.2015.1137097

• Semi-linear edge degenerate parabolic equation
• Singular potentials
• Blow-up
• Nehari manifold

In this paper, we consider a class of semi-linear edge degenerate parabolic equation with singular potentials, which was proposed by Chen and Liu [Asymptotic stability and blow-up of solutions for semi-linear edgedegenerate parabolic equation with singular potentials. Discrete Contin. Dyn. Syst. 2016; 26: 661-682.] in which the authors proved the solutions of the model blow up in finite time with low initial energy and critical initial energy. By constructing a new functional, we obtain a new blow-up condition, which demonstrates the possibility of finite time blow-up when the initial energy is larger than the critical initial energy.

• 出版日期2017
• 单位西南大学