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A Schrödinger singular perturbation problem
- Source :
-
Communications in Nonlinear Science & Numerical Simulation . Dec2007, Vol. 12 Issue 8, p1390-1394. 5p. - Publication Year :
- 2007
-
Abstract
- Abstract: Consider the equation −ε 2 Δu ε + q(x)u ε = f(u ε ) in , ∣u(∞)∣<∞, ε =const>0. Under what assumptions on q(x) and f(u) can one prove that the solution u ε exists and lim ε→0 u ε = u(x), where u(x) solves the limiting problem q(x)u = f(u)? These are the questions discussed in the paper. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 10075704
- Volume :
- 12
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Communications in Nonlinear Science & Numerical Simulation
- Publication Type :
- Periodical
- Accession number :
- 25343222
- Full Text :
- https://doi.org/10.1016/j.cnsns.2005.11.002