The Quenching Problem in the Nonlinear Heat Equations

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dc.creatorZhou, Gang
dc.date2006-12-05
dc.date2006-12-06
dc.date.accessioned2026-07-07T07:34:39Z
dc.date.available2026-07-07T07:34:39Z
dc.descriptionIn this paper we study the quenching problem in nonlinear heat equations with power nonlinearities. For nonlinearities of power p<0 and for an open set of slowly varying initial conditions we prove that the solutions will collapse in a finite time. We find the collapse profile and estimate the remainder.
dc.description33 Pages
dc.identifierhttps://arxiv.org/abs/math/0612110
dc.identifierhttp://arxiv.org/abs/math/0612110
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119839
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35K57
dc.titleThe Quenching Problem in the Nonlinear Heat Equations
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