A singular perturbation problem
Analysis of PDEs
2007-05-23 v1
Authors:
A. G. Ramm
Abstract
Consider the equation −s2Δus+q(x)us=f(us) in R3, ∣u(∞)∣<∞, s=const>0. Under what assumptions on q(x) and f(u) can one prove that the solution us exists and lims→0us=u(x), where u(x) solves the limiting problem q(x)u=f(u)? These are the questions discussed in the paper.
Cite
@article{arxiv.math/0410451,
title = {A singular perturbation problem},
author = {A. G. Ramm},
journal= {arXiv preprint arXiv:math/0410451},
year = {2007}
}
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