Global existence for nonlinear system of wave equations in 3-D domains

Jianwei Yang. "Global existence for nonlinear system of wave equations in 3-D domains." Applicationes Mathematicae 38.4 (2011): 435-452. <http://eudml.org/doc/280014>.

@article{JianweiYang2011,
abstract = {We study the initial-boundary problem for a nonlinear system of wave equations with Hamilton structure under Dirichlet's condition. We use the local-in-time Strichartz estimates from [Burq et al., J. Amer. Math. Soc. 21 (2008), 831-845], Morawetz-Pohožaev's identity derived in [Miao and Zhu, Nonlinear Anal. 67 (2007), 3136-3151], and an a priori estimate of the solutions restricted to the boundary to show the existence of global and unique solutions.},
author = {Jianwei Yang},
journal = {Applicationes Mathematicae},
keywords = {Dirichlet boundary condition; local-in-time Strichartz estimates},
language = {eng},
number = {4},
pages = {435-452},
title = {Global existence for nonlinear system of wave equations in 3-D domains},
url = {http://eudml.org/doc/280014},
volume = {38},
year = {2011},
}

TY - JOUR
AU - Jianwei Yang
TI - Global existence for nonlinear system of wave equations in 3-D domains
JO - Applicationes Mathematicae
PY - 2011
VL - 38
IS - 4
SP - 435
EP - 452
AB - We study the initial-boundary problem for a nonlinear system of wave equations with Hamilton structure under Dirichlet's condition. We use the local-in-time Strichartz estimates from [Burq et al., J. Amer. Math. Soc. 21 (2008), 831-845], Morawetz-Pohožaev's identity derived in [Miao and Zhu, Nonlinear Anal. 67 (2007), 3136-3151], and an a priori estimate of the solutions restricted to the boundary to show the existence of global and unique solutions.
LA - eng
KW - Dirichlet boundary condition; local-in-time Strichartz estimates
UR - http://eudml.org/doc/280014
ER -