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
Text on Project Euclid
PDF
Alt PDF
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/