On coupled Klein-Gordon-Schrödinger equations, II
✍ Scribed by Isamu Fukuda; Masayoshi Tsutsumi
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 839 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
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.
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.
## Abstract A general scheme for factorizing second‐order time‐dependent operators of mathematical physics is given, which allows a reduction of corresponding second‐order equations to biquaternionic equations of first order. Examples of application of the proposed scheme are presented for both con