## Communications in Mathematical Analysis

### Well-Posedness of Initial Value Problem for Discrete Nonlinear Wave Equations

#### 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.

#### Article information

Source
Commun. Math. Anal., Volume 8, Number 1 (2010), 79-86.

Dates
First available in Project Euclid: 7 April 2010

https://projecteuclid.org/euclid.cma/1270646495

Mathematical Reviews number (MathSciNet)
MR2551494

Zentralblatt MATH identifier
1193.34120

Subjects