Please use this identifier to cite or link to this item:
https://hdl.handle.net/1959.11/12035
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Du, Yihong | en |
dc.contributor.author | Peng, Rui | en |
dc.contributor.author | Polacik, Peter | en |
dc.date.accessioned | 2013-02-18T10:16:00Z | - |
dc.date.issued | 2012 | - |
dc.identifier.citation | Journal d'Analyse Mathematique, 118(1), p. 297-316 | en |
dc.identifier.issn | 1565-8538 | en |
dc.identifier.issn | 0021-7670 | en |
dc.identifier.uri | https://hdl.handle.net/1959.11/12035 | - |
dc.description.abstract | In this article, we investigate the parabolic logistic equation with blow-up initial and boundary values... We study the existence and uniqueness of positive solutions, and their asymptotic behavior near the parabolic boundary. Under the extra condition that b(x, t) ≥ c(T - t)⁰d(x,∂Ω)ᵝ on Ω x [0,T) for some constants c > 0,Ɵ > and β > -2, we show that such a solution stays bounded in any compact subset of Ω as t increases to T, and hence solves the equation up to t = T. | en |
dc.language | en | en |
dc.publisher | Magnes Press | en |
dc.relation.ispartof | Journal d'Analyse Mathematique | en |
dc.title | The parabolic logistic equation with blow-up initial and boundary values | en |
dc.type | Journal Article | en |
dc.identifier.doi | 10.1007/s11854-012-0036-0 | en |
dcterms.accessRights | Green | en |
dc.subject.keywords | Partial Differential Equations | en |
local.contributor.firstname | Yihong | en |
local.contributor.firstname | Rui | en |
local.contributor.firstname | Peter | en |
local.subject.for2008 | 010110 Partial Differential Equations | en |
local.subject.seo2008 | 970101 Expanding Knowledge in the Mathematical Sciences | en |
local.profile.school | School of Science and Technology | en |
local.profile.school | Maths | en |
local.profile.school | Maths | en |
local.profile.email | ydu@une.edu.au | en |
local.output.category | C1 | en |
local.record.place | au | en |
local.record.institution | University of New England | en |
local.identifier.epublicationsrecord | une-20130207-13423 | en |
local.publisher.place | Israel | en |
local.format.startpage | 297 | en |
local.format.endpage | 316 | en |
local.identifier.scopusid | 84869072902 | en |
local.url.open | http://www-users.math.umn.edu/~polacik/Publications/dpp-2011.pdf | en |
local.peerreviewed | Yes | en |
local.identifier.volume | 118 | en |
local.identifier.issue | 1 | en |
local.access.fulltext | Yes | en |
local.contributor.lastname | Du | en |
local.contributor.lastname | Peng | en |
local.contributor.lastname | Polacik | en |
dc.identifier.staff | une-id:ydu | en |
dc.identifier.staff | une-id:rpeng2 | en |
local.booktitle.translated | Israel Journal of Mathematical Analysis | en |
local.profile.orcid | 0000-0002-1235-0636 | en |
local.profile.role | author | en |
local.profile.role | author | en |
local.profile.role | author | en |
local.identifier.unepublicationid | une:12238 | en |
dc.identifier.academiclevel | Academic | en |
local.title.maintitle | The parabolic logistic equation with blow-up initial and boundary values | en |
local.output.categorydescription | C1 Refereed Article in a Scholarly Journal | en |
local.relation.grantdescription | ARC/DP1093638 | en |
local.search.author | Du, Yihong | en |
local.search.author | Peng, Rui | en |
local.search.author | Polacik, Peter | en |
local.uneassociation | Unknown | en |
local.identifier.wosid | 000310836400010 | en |
local.year.published | 2012 | en |
local.subject.for2020 | 490410 Partial differential equations | en |
local.subject.seo2020 | 280118 Expanding knowledge in the mathematical sciences | en |
local.profile.affiliationtype | Unknown | en |
local.profile.affiliationtype | Unknown | en |
local.profile.affiliationtype | Unknown | en |
Appears in Collections: | Journal Article School of Science and Technology |
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