On a semilinear parabolic equation
On a semilinear parabolic equation
We introduce a general class of potentials $V=V(x,t)$ so that the semilinear parabolic equation $a\Delta u-\frac \partial {\partial t} u+ V u^p =0$ in $\mathbb {R}^n\times \ ]0,\infty [, n\geq 3, p>1$, $a>0$, has global positive continuous solutions. These results extend the recent ones proved by Zhang to a more …