On the Allen-Cahn equation in the Grushin plane: a monotone entire solution that is not one-dimensional

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dc.creatorBirindelli, Isabeau
dc.creatorValdinoci, Enrico
dc.date2008-06-25
dc.date.accessioned2026-07-07T09:46:40Z
dc.date.available2026-07-07T09:46:40Z
dc.descriptionWe consider solutions of the Allen-Cahn equation in the whole Grushin plane and we show that if they are monotone in the vertical direction, then they are stable and they satisfy a good energy estimate. However, they are not necessarily one-dimensional, as a counter-example shows.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/0806.4139
dc.identifierhttp://arxiv.org/abs/0806.4139
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163609
dc.subjectAnalysis of PDEs
dc.subject35J65
dc.titleOn the Allen-Cahn equation in the Grushin plane: a monotone entire solution that is not one-dimensional
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