𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Global Attractors for the Klein–Gordon–Schrödinger Equation in Unbounded Domains

✍ Scribed by Kening Lu; Bixiang Wang

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
222 KB
Volume
170
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

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.

Classical Global Solutions for Non-linea
Classical Global Solutions for Non-linear Klein–Gordon–Schrödinger Equations
✍ Baoxiang Wang 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 326 KB 👁 1 views

The existence of the classical global solutions for the non-linear Klein-Gordon-Schro¨dinger equations is proved in H-subcritical cases for space dimensions n)5. For higher space dimensions 6)n)9, we will give a subsequent paper to deal with.

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.

Energy Scattering for Nonlinear Klein–Go
Energy Scattering for Nonlinear Klein–Gordon and Schrödinger Equations in Spatial Dimensions 1 and 2
✍ Kenji Nakanishi 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 250 KB

dedicated to professors jean ginibre and walter a. strauss on their sixtieth birthdays We show that when n=1 and 2, the scattering operators are well-defined in the whole energy space for nonlinear Klein Gordon and Schro dinger equations in R 1+n with nonlinearity |u| p&1 u, p>1+4Ân. Such results h

Global existence and uniform decay for t
Global existence and uniform decay for the coupled Klein–Gordon–Schrödinger equations with non-linear boundary damping and memory term
✍ Jong Yeoul Park; Joung Ae Kim 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 160 KB

## Abstract In this paper we are concerned with the existence and energy decay of solution to the initial boundary value problem for the coupled Klein–Gordon–Schrödinger equations with non‐linear boundary damping and memory term. Copyright © 2006 John Wiley & Sons, Ltd.