Long-time extinction of solutions of some semilinear parabolic equations

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dc.creatorBelaud, Yves
dc.creatorShishkov, Andrey
dc.date2008-05-15
dc.date.accessioned2026-07-07T12:39:42Z
dc.date.available2026-07-07T12:39:42Z
dc.descriptionWe study the long time behaviour of solutions of semi-linear parabolic equation of the following type $\partial_t u-Δu+a_0(x)u^q=0$ where $a_0(x) \geq d_0 \exp(\frac{ω(|x|)}{|x|^2})$, $d_0>0$, $1>q>0$ and $ω$ a positive continuous radial function. We give a Dini-like condition on the function $ω$ by two different method which implies that any solution of the above equation vanishes in a finite time. The first one is a variant of a local energy method and the second one is derived from semi-classical limits of some Schrödinger operators.
dc.identifierhttps://arxiv.org/abs/0805.2314
dc.identifierhttp://arxiv.org/abs/0805.2314
dc.identifierJournal of Differential Equations (2007) 238, pages 64-86
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219204
dc.subjectAnalysis of PDEs
dc.subject35B40, 35K20, 35P15
dc.titleLong-time extinction of solutions of some semilinear parabolic equations
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