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

• Autorzy: Jianwei Yang
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35L70: Nonlinear second-order hyperbolic equations
• 35L05: Wave equation

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2011
• Tom: 38
• Numer: 4
• Strony: 435-452

Daty

wydano

2011

Twórcy

autor

Jianwei Yang

• The Graduate School of China Academy of Engineering Physics, P.O. Box 2101, Beijing 100088, P.R. China

Identyfikatory

DOI

10.4064/am38-4-3