On the nonrelativistic limit of the bound states of the Klein-Gordon equation
✍ Scribed by K Veselić
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 809 KB
- Volume
- 96
- Category
- Article
- ISSN
- 0022-247X
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## Abstract A predictor–corrector (P–C) scheme based on the use of rational approximants of second‐order to the matrix‐exponential term in a three‐time level reccurence relation is applied to the nonlinear Klein‐Gordon equation. This scheme is accelerated by using a modification (MPC) in which the
Dedicated to the 80-th anniversary of F. John. Consider the Klein-Gordon equation in Minkowski space-time Rflfi. Here 0 = f"fia,aB denotes the D'Alemberton operators with f the Minkowski metric of W I . Relative to inertial coordinates x n , ct = 0, 1 ,..., n, we have fob = diag(-1, l , . . ., 1).
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.