Loth Damagui Chabi

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20242026

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math.AP2026

Local existence and blow-up behavior for the diffusive Hamilton-Jacobi equation in a half-space with unbounded initial data

Loth Damagui Chabi

We study the local existence and blow-up behavior of solutions, with possible growth at space infinity, for the diffusive Hamilton-Jacobi equation $u_{t} - Δ u = ∣\nabla u ∣^{p}$ ( $p > 1$ ), in…

math.AP2026

Sharp macroscopic blow-up behavior for the parabolic-elliptic Keller-Segel system in dimensions $n \geq 3$

Loth Damagui Chabi, Philippe Souplet

We study the space-time concentration or blow-up asymptotics of radially decreasing solutions of the parabolic-elliptic Keller-Segel system in the whole space or in a ball. We show…

Local existence and blow-up behavior for the diffusive Hamilton-Jacobi equation in a half-space with unbounded initial data

Sharp macroscopic blow-up behavior for the parabolic-elliptic Keller-Segel system in dimensions n≥3

Sharp macroscopic blow-up behavior for the parabolic-elliptic Keller-Segel system in dimensions $n \geq 3$