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Final State Problem for the Cubic Nonlinear Schrödinger Equation with Repulsive Delta Potential.
- Source :
-
Communications in Partial Differential Equations . Feb2015, Vol. 40 Issue 2, p309-328. 20p. - Publication Year :
- 2015
-
Abstract
- We consider the asymptotic behavior in time of solutions to the cubic nonlinear Schrödinger equation with repulsive delta potential (δ-NLS). We shall prove that for a given small asymptotic profileuap, there exists a solutionuto (δ-NLS) which converges touapinL2(ℝ) ast → ∞. To show this result we exploit the distorted Fourier transform associated to the Schrödinger equation with delta potential. [ABSTRACT FROM PUBLISHER]
Details
- Language :
- English
- ISSN :
- 03605302
- Volume :
- 40
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Communications in Partial Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 99463223
- Full Text :
- https://doi.org/10.1080/03605302.2014.930753