论文标题
p-Laplacian热方程中的爆炸现象的评论，具有不均匀的非线性
Remarks on blow-up phenomena in p-Laplacian heat equation with inhomogeneous nonlinearity
论文作者
论文摘要
我们研究了有限的平滑域$ p- $ laplace热方程$ u_t-δ_pu =ζ（t）f（u）$上的限制平滑域$ω\ subset \ mathbb {r}^n $。使用差分不平等参数，我们在$ζ，f $和初始数据$ u_0 $的适当条件下证明了爆炸结果。在每种情况下，我们还为爆破时间提供了上限。
We investigate the $p-$Laplace heat equation $u_t-Δ_p u=ζ(t)f(u)$ on a bounded smooth domain $Ω\subset\mathbb{R}^N$. Using differential inequalities arguments, we prove blow-up results under suitable conditions on $ζ, f$, and the initial data $u_0$. We also give an upper bound for the blow-up time in each case.
