Boundary Layer Solutions to Problems with Infinite Dimensional Singular and Regular Perturbations
- Recke, Lutz
- Omel'chenko, Oleh
Publication date
August 2011
DOI Publisher
Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik Journal
issn:0863-0976 Language
EnglishAbstract
We prove existence, local uniqueness and asymptotic estimates for boundary layer solutions to singularly perturbed equations of the type $(\varepsilon(x)^2 u'(x))'=f(x,u(x))+ g(x,u(x),\varepsilon(x) u'(x)), 0<
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