Well-Posedness of Initial Value Problem for Discrete Nonlinear Wave Equations
Bak, Sergei ; N‘Guérékata, Gaston M. ; Pankov, Alexander
Commun. Math. Anal., Tome 8 (2010) no. 1, p. 79-86 / Harvested from Project Euclid
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/