文摘
In Georgiev et al. (2005), the authors proved the global existence of solutions to the Cauchy problem of nonlinear elastic waves with memory for space dimensions n≥3. In this manuscript, we show that in high space dimensions n≥4, even without such memory effect, global solutions can be also constructed. The main tool we used is the vector fields method adapted to elastic waves in Sideris’s work (Sideris, 2000).