Abstract
We consider the existence and nonexistence of global solutions of the following initial-boundary value problem for a system of nonlinear wave equations in a domain Ω × [0, T): ½ utt − Δu +m21 u = −4λ(u + αv)3 − 2βuv2, vtt − Δv +m22 v = −4αλ(u + αv)3 − 2βu2v, where Ω is a bounded domain in R3 with a smooth boundary. Some sufficient conditions on the given parameters λ, α and β for the global existence and blow-up are imposed. The estimates for the lifespan of solutions is given.
Citation
Meng-Rong Li Meng-Rong Li. Long-Yi Tsai Long-Yi Tsai. "ON A SYSTEM OF NONLINEAR WAVE EQUATIONS." Taiwanese J. Math. 7 (4) 557 - 573, 2003. https://doi.org/10.11650/twjm/1500407577
Information
