𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Stationary states for non linear one-dimensional Schrödinger equations with singular potential

✍ Scribed by Filippo F.G. Della Casa; Andrea Sacchetti


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
403 KB
Volume
219
Category
Article
ISSN
0167-2789

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Ground state solutions of non-linear sin
✍ Mihai Mihǎilescu; Vicenţiu Rǎdulescu 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 104 KB

## Abstract We study a class of time‐independent non‐linear Schrödinger‐type equations on the whole space with a repulsive singular potential in the divergence operator and we establish the existence of non‐trivial standing wave solutions for this problem in an appropriate weighted Sobolev space. S

Scattering for the forced non-linear Sch
✍ Ricardo Weder 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 173 KB

In this paper we construct the scattering operator for the forced non-linear Schr odinger equation with a potential on the half-line. Moreover, in the case where the force is zero, and the solutions satisfy the homogeneous Dirichlet boundary condition at zero, we prove that the scattering operator d

On spectral theory for Schrödinger opera
✍ Fritz Gesztesy; Maxim Zinchenko 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 439 KB

## Abstract We examine two kinds of spectral theoretic situations: First, we recall the case of self‐adjoint half‐line Schrödinger operators on [__a__ , ∞), __a__ ∈ ℝ, with a regular finite end point __a__ and the case of Schrödinger operators on the real line with locally integrable potentials, wh