dc.contributor.author | Duzgun, Fatma Gamze | |
dc.contributor.author | Gianazza, Ugo | |
dc.contributor.author | Vespri, Vincenzo | |
dc.date.accessioned | 2019-12-16T09:39:08Z | |
dc.date.available | 2019-12-16T09:39:08Z | |
dc.date.issued | 2016 | |
dc.identifier.issn | 1937-1632 | |
dc.identifier.uri | https://doi.org/10.3934/dcdss.2016021 | |
dc.identifier.uri | http://hdl.handle.net/11655/19671 | |
dc.description.abstract | Let u be a non-negative super-solution to a 1-dimensional singular parabolic equation of p-Laplacian type (1 < p < 2). If u is bounded below on a time-segment {y} x (0, T] by a positive number M, then it has a power like decay of order 2 Pp with respect to the space variable x in R x [T/2, T]. This fact, stated quantitatively in Proposition 1.2, is a "sidewise spreading of positivity" of solutions to such singular equations, and can be considered as a form of Harnack inequality. The proof of such an effect is based on geometrical ideas. | |
dc.language.iso | en | |
dc.publisher | Amer Inst Mathematical Sciences-Aims | |
dc.relation.isversionof | 10.3934/dcdss.2016021 | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.subject | Mathematics | |
dc.title | 1-Dimensional Harnack Estimates | |
dc.type | info:eu-repo/semantics/article | |
dc.relation.journal | Discrete And Continuous Dynamical Systems-Series S | |
dc.contributor.department | Matematik | |
dc.identifier.volume | 9 | |
dc.identifier.issue | 3 | |
dc.identifier.startpage | 675 | |
dc.identifier.endpage | 685 | |
dc.description.index | WoS | |
dc.description.index | Scopus | |