Boundary Blow-up Solutions with Interior Layers and Spikes in a Bistable Problem

Author(s)
Du, Yihong
Guo, Zongming
Zhou, Feng
Publication Date
2007
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.
Citation
Discrete and Continuous Dynamical Systems. Series A, 19(2), p. 271-298
ISSN
1553-5231
1078-0947
Link
https://hdl.handle.net/1959.11/3530
Publisher
AIMS Press
Title
Boundary Blow-up Solutions with Interior Layers and Spikes in a Bistable Problem
Type of document
Journal Article
Entity Type
Publication

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