Loth Damagui Chabi

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20242026

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math.AP2024

Asymptotic blow-up behavior for the semilinear heat equation with non scale invariant nonlinearity

Loth Damagui Chabi

We characterize the asymptotic behavior near blowup points for positive solutions of the semilinear heat equation \begin{equation*} \partial_t u-Δu =f(u), \end{equation*} for nonli…

math.AP2024

Refined behavior and structural universality of the blow-up profile for the semilinear heat equation with non scale invariant nonlinearity

Loth Damagui Chabi, Philippe Souplet

We consider the semilinear heat equation $u_{t} - Δ u = f (u)$ for a large class of non scale invariant nonlinearities of the form $f (u) = u^{p} L (u)$ , where $p > 1$ is Sobolev subcritical and…