𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Global estimates for the Schrödinger equation

✍ Scribed by Matania Ben-Artzi

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
248 KB
Volume
107
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Finite Dimensional Global Attractor for
Finite Dimensional Global Attractor for Dissipative Schrödinger–Boussinesq Equations
✍ Yongsheng Li; Qingyi Chen 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 266 KB

In this paper the authors consider the initial boundary value problems of dissipative Schrodinger᎐Boussinesq equations and prove the existence of global ättractors and the finiteness of the Hausdorff and the fractal dimensions of the attractors.

Regularity of the global attractor for t
Regularity of the global attractor for the Klein–Gordon–Schrödinger equation
✍ Horst Lange; Bixiang Wang 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 147 KB 👁 1 views

This paper deals with the regularity of the global attractor for the Klein}Gordon}Schro K dinger equation. Using a decomposition method, we prove that the global attractor for the one-dimensional model consists of smooth functions provided the forcing terms are regular.

Strichartz estimates in Wiener amalgam s
Strichartz estimates in Wiener amalgam spaces for the Schrödinger equation
✍ Elena Cordero; Fabio Nicola 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 233 KB

## Abstract We study the dispersive properties of the Schrödinger equation. Precisely, we look for estimates which give a control of the local regularity and decay at infinity __separately__. The Banach spaces that allow such a treatment are the Wiener amalgam spaces, and Strichartz‐type estimates

Lp−Lp Estimates for the Schrödinger Equa
Lp−Lp Estimates for the Schrödinger Equation on the Line and Inverse Scattering for the Nonlinear Schrödinger Equation with a Potential
✍ Ricardo Weder 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 286 KB

In this paper I prove a L p &L p estimate for the solutions to the one-dimensional Schro dinger equation with a potential in L 1 # where in the generic case #>3Â2 and in the exceptional case (i.e., when there is a half-bound state of zero energy) #>5Â2. I use this estimate to construct the scatterin