Transfer of global wellposedness from nonlinear Klein-Gordon equation to nonlinear Schrödinger equation
NAKANISHI, Kenji
Hokkaido Math. J., Tome 37 (2008) no. 4, p. 749-771 / Harvested from Project Euclid
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We discuss relations between the nonlinear Klein-Gordon equation and the nonlinear Schrödinger equation in view of the global wellposedness in the energy space and L^2. In some critical cases, we show that the global wellposedness for the former equation with some uniform bounds implies that for the latter.
Publié le : 2008-11-15
Classification:  nonlinear Klein-Gordon equation,  nonlinear Schrödinger equation,  wellposedness,  nonrelativistic limit,  35L70,  35Q55,  35B40,  35B25 
@article{1249046367,
     author = {NAKANISHI, Kenji},
     title = {Transfer of global wellposedness from nonlinear Klein-Gordon equation to nonlinear Schr\"odinger equation},
     journal = {Hokkaido Math. J.},
     volume = {37},
     number = {4},
     year = {2008},
     pages = { 749-771},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1249046367}
}

NAKANISHI, Kenji. Transfer of global wellposedness from nonlinear Klein-Gordon equation to nonlinear Schrödinger equation. Hokkaido Math. J., Tome 37 (2008) no. 4, pp.  749-771. http://gdmltest.u-ga.fr/item/1249046367/