Open Access
2010 Well-Posedness of Initial Value Problem for Discrete Nonlinear Wave Equations
Sergei Bak, Gaston M. N‘Guérékata, Alexander Pankov
Commun. Math. Anal. 8(1): 79-86 (2010).

Abstract

We consider the initial value problem for discrete nonlinear wave equations. Under natural assumptions, we prove results on global well-posedness in a wide class of weighted $l^2$ spaces. Admissible spaces include spaces power and exponential decaying sequences.

Citation

Download Citation

Sergei Bak. Gaston M. N‘Guérékata. Alexander Pankov. "Well-Posedness of Initial Value Problem for Discrete Nonlinear Wave Equations." Commun. Math. Anal. 8 (1) 79 - 86, 2010.

Information

Published: 2010
First available in Project Euclid: 7 April 2010

zbMATH: 1193.34120
MathSciNet: MR2551494

Subjects:
Primary: 34G20

Keywords: bounded solutions , Discrete nonlinear wave equation , global well-posedness , Initial value problem , weighted sequence spaces

Rights: Copyright © 2010 Mathematical Research Publishers

Vol.8 • No. 1 • 2010
Back to Top