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On Combinatorics of Schrödinger Perturbations

✍ Scribed by Tomasz Jakubowski

Publisher
Springer Netherlands
Year
2009
Tongue
English
Weight
326 KB
Volume
31
Category
Article
ISSN
0926-2601

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📜 SIMILAR VOLUMES

A Schrödinger singular perturbation prob
A Schrödinger singular perturbation problem
✍ A.G. Ramm 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 151 KB

Consider the equation Àe 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.