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- W2069831837 abstract "Boundary value problems for singularly perturbed equations often have singular solutions with internal and boundary layers. This paper addresses the question of when singular solutions to such problems correspond to nearby actual ones. We give a geometric method based on one version of the “exchange lemma,” which is used to track an invariant manifold (such as the manifold of solutions satisfying one set of boundary conditions) as it passes close to a slow manifold. The estimates provided by the lemma are used to establish transversality between the two manifolds of solutions each satisfying one of the two sets of boundary conditions. The authors also discuss other uses of the exchange lemma." @default.
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- W2069831837 date "1994-12-01" @default.
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- W2069831837 title "Invariant Manifolds and Singularly Perturbed Boundary Value Problems" @default.
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- W2069831837 doi "https://doi.org/10.1137/0731081" @default.
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