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.
On a factorization of the Schrödinger and Klein–Gordon operators
✍ Scribed by Paula Cerejeiras; Uwe Kähler; Vladislav V. Kravchenko
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 141 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.999
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✦ Synopsis
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 constant and variable coefficients. Copyright © 2008 John Wiley & Sons, Ltd.
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