𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Lyapunov stability of ground states of nonlinear dispersive evolution equations

✍ Scribed by Michael I. Weinstein

Publisher
John Wiley and Sons
Year
1986
Tongue
English
Weight
660 KB
Volume
39
Category
Article
ISSN
0010-3640

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Controllability of the nonlinear Schrödi
Controllability of the nonlinear Schrödinger equation in the vicinity of the ground state
✍ H. Lange; H. Teismann 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 213 KB

## Abstract Local exact controllability of the one‐dimensional NLS (subject to zero‐boundary conditions) with distributed control is shown to hold in a __H__^1^‐neighbourhood of the nonlinear ground state. The __Hilbert Uniqueness Method__ (__HUM__), due to Lions, is applied to the linear control p

Stability of standing waves for nonlinea
Stability of standing waves for nonlinear defocusing fourth-order dispersive Schrödinger equation with unbounded potentials
✍ Guanggan Chen; Jian Zhang; Yunyun Wei 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 133 KB

## Abstract This paper is concerned with a nonlinear defocusing fourth‐order dispersive Schrödinger equation with unbounded potentials which models propagation in fiber arrays. We analyze the global existence of the solution and also obtain the existence of the standing waves for the system. Furthe