Asymptotic analysis of the Carrier-Pearson problem
This paper provides a rigorous analysis of the asymptotic behavior of the solution for the boundary-value problem begin{gather*} epsilon ^2u''+u^2-1 =0,quad -1<x<1, u(-1) =u(1)=0 end{gather*} as the parameter $epsilon$ approaches zero.
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| Format: | Article |
| Language: | English |
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Texas State University
2003-02-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/conf-proc/10/l3/abstr.html |