A Schrodinger singular perturbation problem

被引：0
|
作者：
Ramm, A. G. [1 ]
机构：
[1] Kansas State Univ, Dept Math, Manhattan, KS 66506 USA
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2007年 / 12卷 / 08期
关键词：
Nonlinear elliptic equations; Singular perturbations;
D O I：
10.1016/j.cnsns.2005.11.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Consider the equation -epsilon(2)Delta u(epsilon) + q(x)u(epsilon) = f(u(epsilon)) in R-3, vertical bar u(infinity)vertical bar < infinity, epsilon = const > 0. Under what assumptions on q(x) and f(u) can one prove that the solution ue exists and lim(epsilon -> 0)u(epsilon) = u(x), where u(x) solves the limiting problem q(x)u = f(u)? These are the questions discussed in the paper. (C) 2005 Elsevier B. V. All rights reserved.
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页码：1390 / 1394
页数：5
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