Refined Blow-up Behavior for Reaction-Diffusion Equations with Non Scale Invariant Exponential Nonlinearities
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DOI: 10.1007/s10884-025-10447-1
Abstract: 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… read more here.
Keywords: equation; blow behavior; behavior reaction; scale invariant ... See more keywords