Some Blow-Up Problems for a Semilinear Parabolic Equation with a Potential

Ting Cheng, Gao-Feng Zheng

The blow-up rate estimate for the solution to a semilinear parabolic equation $u_t=\Delta u+V(x)|u{|}^{p-1}u$ in $\Omega \times (0,T)$ with 0-Dirichlet boundary condition is obtained. As an app…