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On multiple solutions of a singular perturbation problem

✍ Scribed by R. E. O'Malley

Publisher
Springer
Year
1972
Tongue
English
Weight
398 KB
Volume
49
Category
Article
ISSN
0003-9527

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πŸ“œ SIMILAR VOLUMES

A SchrΓΆdinger singular perturbation prob
A SchrΓΆdinger singular perturbation problem
✍ A.G. Ramm πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 151 KB

Consider the equation Γ€e 2 Du e + q(x)u e = f(u e ) in R 3 , ju(1)j < 1, e = const > 0. Under what assumptions on q(x) and f(u) can one prove that the solution u e exists and lim e!0 u e = u(x), where u(x) solves the limiting problem q(x)u = f(u)? These are the questions discussed in the paper.