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https://hdl.handle.net/1959.11/3530| Title: | Boundary Blow-up Solutions with Interior Layers and Spikes in a Bistable Problem | Contributor(s): | Du, Yihong (author) ; Guo, Zongming (author); Zhou, Feng (author) |
Publication Date: | 2007 | Handle Link: | https://hdl.handle.net/1959.11/3530 | Abstract: | We show that for small ε > 0, the boundary blow-up problem −ε2∆u = u(u − a(x))(1 - u) in Ω, u|∂Ω = ∞ has solutions with sharp interior layers and spikes, apart from boundary layers. We also determine the location of these layers and spikes. | Publication Type: | Journal Article | Source of Publication: | Discrete and Continuous Dynamical Systems. Series A, 19(2), p. 271-298 | Publisher: | AIMS Press | Place of Publication: | United States of America | ISSN: | 1553-5231 1078-0947 |
Fields of Research (FoR) 2008: | 019999 Mathematical Sciences not elsewhere classified | Socio-Economic Objective (SEO) 2008: | 970101 Expanding Knowledge in the Mathematical Sciences | Peer Reviewed: | Yes | HERDC Category Description: | C1 Refereed Article in a Scholarly Journal | Publisher/associated links: | http://aimsciences.org/journals/pdfs.jsp?paperID=2688&mode=abstract |
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| Appears in Collections: | Journal Article School of Science and Technology |
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