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-linear Klein–Gordon–Schrödinger Equations
✍ Scribed by Baoxiang Wang
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 326 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0170-4214
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✦ Synopsis
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.
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