Refined blow-up behavior for reaction-diffusion equations with non scale
invariant exponential nonlinearities
Refined blow-up behavior for reaction-diffusion equations with non scale
invariant exponential nonlinearities
We consider positive radial decreasing blow-up solutions of the semilinear heat equation \begin{equation*} u_t-\Delta u=f(u):=e^{u}L(e^{u}),\quad x\in \Omega,\ t>0, \end{equation*} where $\Omega=\mathbb{R}^n$ or $\Omega=B_R$ and $L$ is a slowly varying function (which includes for instance logarithms and their powers and iterates, as well as some strongly oscillating unbounded functions). We characterize …