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

Volume 38 / 2011

Jianwei Yang Applicationes Mathematicae 38 (2011), 435-452 MSC: 35L05, 35L70. DOI: 10.4064/am38-4-3

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.

Authors

  • Jianwei YangThe Graduate School of China Academy of Engineering Physics
    P.O. Box 2101
    Beijing 100088, P.R. China
    e-mail

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