论文标题
在藤田指数上的非线性抛物线方程，强迫术语
On the Fujita exponent for a nonlinear parabolic equation with a forcing term
论文作者
论文摘要
这项工作的目的是分析非线性抛物线方程\ [u_t-Δu= | x | x |^α| （t，x）\ in（0，\ infty）\ times \ times \ mathbb {r}^{n}，\]其中$ p> 1 $，$α\ in \ mathbb {r} $和$ {\ mathtt a} a} $，$ \ \ \ textbf {w} $适合提供功能。我们通过考虑广泛的功能$ {\ mathtt a}（t）$来改善早期结果。
The purpose of this work is to analyze the blow-up of solutions of the nonlinear parabolic equation \[ u_t-Δu=|x|^α|u|^{p}+{\mathtt a}(t)\textbf{w}(x) \ \quad\mbox{for } (t,x)\in(0,\infty)\times\mathbb{R}^{N}, \] where $p>1$, $α\in\mathbb{R}$ and ${\mathtt a}$, $\textbf{w}$ are suitable given functions. We improve earlier results by considering a wide class of functions ${\mathtt a}(t)$.
