The Galerkin-averaging method for the Klein-Gordon equation in two space dimensions

Nonlinear Analysis, Theory, Methods and Applications

Volumn 27, Issue 7, 1996, Pages 841-856

  Pals, H ^a,b  

^a UTRECHT UNIVERSITY   (Netherlands)

^b EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Galerkin averaging method; Klein Gordon equation

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL COMPLEXITY; EIGENVALUES AND EIGENFUNCTIONS; PERTURBATION TECHNIQUES;

GALERKIN AVERAGING METHOD; KLEIN GORDON EQUATION;

NONLINEAR EQUATIONS;

EID: 0030269048     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(94)E0072-O     Document Type: Article

References (9)

1. SANDERS J. A. & VERHULST F., A veraging Methods in Nonlinear Dynamical Systems. Springer, Berlin (1985).
2. KROL M. S., On a Galerkin-averaging method for weakly nonlinear wave equations, Math. Meth. Appl. Sci. 11, 649-664 (1989).
3. STROUCKEN A. C. J. & VERHULST F., The Galerkin-averaging method for nonlinear, undamped continuous systems, Math. Meth. Appl. Sci. 9, 520-549 (1987).
4. VAN HORSSEN W. T. & VAN DER BURGH A. H. P., On initial-boundary value problems for weakly semi-linear telegraph equations. Asymptotic theory and application, SIAM J. Appl. Math 48, 719-736 (1988).
5. VAN DER AA E. & KROL M. S., A weakly nonlinear wave equation with many resonances (preprint).
6. VERHULST F., Nonlinear Differential Equations and Dynamical Systems. Springer, Berlin (1990).
7. REED M., Absract Nonlinear Wave Equations, LNM 507. Springer, Berlin (1976).
8. KROL M. S., The method of averaging in partial differential equations, thesis (1990).
9. PALS H., The Galerkin-averaging method for the Klein-Gordon equation in two space dimensions (preprint).