一类具非线性对数项的p-双调和抛物方程解的爆破

Blow Up for p-biharmonic Parabolic Equation with Logarithmic Nonlinearity

考虑一类具非线性对数项的P-双调和抛物方程,建立了初始能量为正时的解的爆破结果.此外,给出了解的爆破时间的上界估计.

We considered a p-biharmonic parabolic equation with the logarithmic nonlinearity,and established a blow-up result for the solutions with positive initial energy.Furthermore,the upper bound of the blow up time is derived.