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.
Publié le : 2010-05-15
Classification:
Discrete nonlinear wave equation,
initial value problem,
global well-posedness,
weighted sequence spaces,
bounded solutions,
34G20
@article{1270646495,
author = {Bak, Sergei and N`Gu\'er\'ekata, Gaston M. and Pankov, Alexander},
title = {Well-Posedness of Initial Value Problem for Discrete
Nonlinear Wave Equations},
journal = {Commun. Math. Anal.},
volume = {8},
number = {1},
year = {2010},
pages = { 79-86},
language = {en},
url = {http://dml.mathdoc.fr/item/1270646495}
}
Bak, Sergei; N‘Guérékata, Gaston M.; Pankov, Alexander. Well-Posedness of Initial Value Problem for Discrete
Nonlinear Wave Equations. Commun. Math. Anal., Tome 8 (2010) no. 1, pp. 79-86. http://gdmltest.u-ga.fr/item/1270646495/