A probabilistic principle and generalized Schrödinger perturbation
✍ Scribed by Z Zhao
- Book ID
- 107795076
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 539 KB
- Volume
- 101
- Category
- Article
- ISSN
- 0022-1236
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📜 SIMILAR VOLUMES
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.
A set of non-lmear cqustlons LS given winch solves the stationary Schrodmgcr equalion III terms of a known subproblem. An ItemlIve solution of the equations ylclds the degenerate version of Raylegh-SchrBdmgcr perturbation theory, but olhcr approxunatlon schemes, as well as a purely numerIca solullon