Asymptotic behavior of global solutions of the $u_t=\Delta u+u^p$

Oscar A. Barraza, Laura B. Langoni

We study the asymptotic behavior of nonnegative solutions of the semilinear parabolic problem {u_t=Δu + u^{p}, x\in\mathbb{R}^{N}, t>0 u(0)=u_{0}, x\in\mathbb{R}^{N}, t=0. It is kn…