Global existence and energy decay of solutions to the Cauchy problem for a wave equation with a weakly nonlinear dissipation
Benaissa, Abbès ; Mokeddem, Soufiane
Abstr. Appl. Anal., Tome 2004 (2004) no. 1, p. 935-955 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
We prove the global existence and study decay properties of the solutions to the wave equation with a weak nonlinear dissipative term by constructing a stable set in $H^{1}(\R^{n})$ .
Publié le : 2004-12-15
Classification:  35B40,  35L70 
@article{1104418103,
     author = {Benaissa, Abb\`es and Mokeddem, Soufiane},
     title = {Global existence and energy decay of solutions to the Cauchy problem for a wave equation with a weakly nonlinear dissipation},
     journal = {Abstr. Appl. Anal.},
     volume = {2004},
     number = {1},
     year = {2004},
     pages = { 935-955},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1104418103}
}

Benaissa, Abbès; Mokeddem, Soufiane. Global existence and energy decay of solutions to the Cauchy problem for a wave equation with a weakly nonlinear dissipation. Abstr. Appl. Anal., Tome 2004 (2004) no. 1, pp.  935-955. http://gdmltest.u-ga.fr/item/1104418103/