Geodesic
Global existence for nonlinear system of wave equations in 3-D domains
Jianwei Yang1
1 The Graduate School of China Academy of Engineering Physics P.O. Box 2101 Beijing 100088, P.R. China
Applicationes Mathematicae, Tome 38 (2011) no. 4, pp. 435-452.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/am38-4-3
Keywords: study initial boundary problem nonlinear system wave equations hamilton structure under dirichlets condition local in time strichartz estimates burq amer math soc morawetz poho aevs identity derived miao zhu nonlinear anal priori estimate solutions restricted boundary existence global unique solutions

Jianwei Yang 1

1 The Graduate School of China Academy of Engineering Physics P.O. Box 2101 Beijing 100088, P.R. China 
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Jianwei Yang. Global existence for nonlinear system of wave equations in 3-D domains. Applicationes Mathematicae, Tome 38 (2011) no. 4, pp. 435-452. doi : 10.4064/am38-4-3. http://geodesic.mathdoc.fr/articles/10.4064/am38-4-3/

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