On Existence and Uniqueness Results for some Nonlinear Schrödinger equations
J.S. Eenhoorn (TU Delft - Applied Sciences)
Manuel V. Gnann – Mentor (TU Delft - Analysis)
Joseph M. Thijssen – Graduation committee member (TU Delft - QN/Thijssen Group)
More Info
expand_more
Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.
Abstract
The (nonlinear) behaviour of laser beams can be described with Nonlinear Schrödinger equations (NLS). The purpose of this thesis is to shed light on two mathematical papers that give existence and uniqueness results for an NLS equation called the soliton equation. The contribution is to expand the level of detail with which the analysis and some proofs are presented, and to unify the notation where possible.