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https://hdl.handle.net/1959.11/28574
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Peng, Rui | en |
dc.contributor.author | Zhou, Maolin | en |
dc.date.accessioned | 2020-04-20T01:55:57Z | - |
dc.date.available | 2020-04-20T01:55:57Z | - |
dc.date.issued | 2018 | - |
dc.identifier.citation | Indiana University Mathematics Journal, 67(6), p. 2523-2568 | en |
dc.identifier.issn | 1943-5258 | en |
dc.identifier.issn | 0022-2518 | en |
dc.identifier.issn | 1943-5266 | en |
dc.identifier.uri | https://hdl.handle.net/1959.11/28574 | - |
dc.description.abstract | <p>In this article, we study, as the coefficient s → ∞, the asymptotic behavior of the principal eigenvalue of the eigenvalue problem </p><p> −φ"(x)−2sm′(x)φ′(x)+c(x)φ(x)=λsφ(x), 0 < x < 1, </p><p> complemented by a general boundary condition. This problem is relevant to nonlinear propagation phenomena in reaction-diffusion equations. The main point is that the advection (or drift) term m allows natural degeneracy. For instance, m can be constant on [a, b] ⊂ [0, 1]. Depending on the behavior of m near the neighbourhood of the endpoints a and b, the limiting value could be the principal eigenvalue of </p><p> −φ"(x)+c(x)φ(x)=λφ(x), a < x < b, </p><p> coupled with Dirichlet or Newmann boundary condition at a and b. A complete understanding of the limiting behavior of the principal eigenvalue and its eigenfunction is obtained, and new fundamental effects of large degenerate advection and boundary conditions on the principal eigenvalue and the principal eigenfunction are revealed. In one space dimension, the results in the existing literature are substantially improved.</p> | en |
dc.language | en | en |
dc.publisher | Indiana University, Department of Mathematics | en |
dc.relation.ispartof | Indiana University Mathematics Journal | en |
dc.title | Effects of Large Degenerate Advection and Boundary Conditions on the Principal Eigenvalue and its Eigenfunction of A Linear Second-Order Elliptic Operator | en |
dc.type | Journal Article | en |
dc.identifier.doi | 10.1512/iumj.2018.67.7547 | en |
local.contributor.firstname | Rui | en |
local.contributor.firstname | Maolin | en |
local.relation.isfundedby | ARC | en |
local.subject.for2008 | 010299 Applied Mathematics not elsewhere classified | en |
local.subject.seo2008 | 970101 Expanding Knowledge in the Mathematical Sciences | en |
local.profile.school | School of Science and Technology | en |
local.profile.email | mzhou6@une.edu.au | en |
local.output.category | C1 | en |
local.grant.number | DE170101410 | en |
local.grant.number | 11671175 | en |
local.grant.number | 11571200 | en |
local.grant.number | PPZY2015A013 | en |
local.record.place | au | en |
local.record.institution | University of New England | en |
local.publisher.place | United States of America | en |
local.format.startpage | 2523 | en |
local.format.endpage | 2568 | en |
local.peerreviewed | Yes | en |
local.identifier.volume | 67 | en |
local.identifier.issue | 6 | en |
local.contributor.lastname | Peng | en |
local.contributor.lastname | Zhou | en |
dc.identifier.staff | une-id:mzhou6 | en |
local.profile.role | author | en |
local.profile.role | author | en |
local.identifier.unepublicationid | une:1959.11/28574 | en |
dc.identifier.academiclevel | Academic | en |
dc.identifier.academiclevel | Academic | en |
local.title.maintitle | Effects of Large Degenerate Advection and Boundary Conditions on the Principal Eigenvalue and its Eigenfunction of A Linear Second-Order Elliptic Operator | en |
local.relation.fundingsourcenote | National Science Foundation of China, Top-notch Academic Programs Project of Jiangsu Higher Education Institutions | en |
local.output.categorydescription | C1 Refereed Article in a Scholarly Journal | en |
local.relation.url | http://www.iumj.indiana.edu/oai/2018/67/7547/7547.html | en |
local.relation.grantdescription | ARC/DE170101410 | en |
local.search.author | Peng, Rui | en |
local.search.author | Zhou, Maolin | en |
local.istranslated | No | en |
local.uneassociation | Yes | en |
local.atsiresearch | No | en |
local.sensitive.cultural | No | en |
local.identifier.wosid | 000453244000015 | en |
local.year.published | 2018 | - |
local.fileurl.closedpublished | https://rune.une.edu.au/web/retrieve/25380338-584e-4d8d-bd8f-fa5236eced10 | en |
local.subject.for2020 | 490199 Applied mathematics not elsewhere classified | en |
local.subject.seo2020 | 280118 Expanding knowledge in the mathematical sciences | en |
dc.notification.token | 012e9278-4fc2-4808-97b4-7da4d87e990f | en |
Appears in Collections: | Journal Article School of Science and Technology |
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