An alternative proof of global existence for nonlinear wave equations in an exterior domain
KATAYAMA, Soichiro ; KUBO, Hideo
J. Math. Soc. Japan, Tome 60 (2008) no. 1, p. 1135-1170 / Harvested from Project Euclid
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The aim of this article is to present a simplified proof of a global existence result for systems of nonlinear wave equations in an exterior domain. The novelty of our proof is to avoid completely the scaling operator which would make the argument complicated in the mixed problem, by using new weighted pointwise estimates of a tangential derivative to the light cone.
Publié le : 2008-10-15
Classification:  nonlinear wave equation,  null condition,  exterior domain,  35L70,  35L20 
@article{1225894036,
     author = {KATAYAMA, Soichiro and KUBO, Hideo},
     title = {An alternative proof of global existence for nonlinear wave equations in an exterior domain},
     journal = {J. Math. Soc. Japan},
     volume = {60},
     number = {1},
     year = {2008},
     pages = { 1135-1170},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1225894036}
}

KATAYAMA, Soichiro; KUBO, Hideo. An alternative proof of global existence for nonlinear wave equations in an exterior domain. J. Math. Soc. Japan, Tome 60 (2008) no. 1, pp.  1135-1170. http://gdmltest.u-ga.fr/item/1225894036/