Yaojun Ye Zhejiang University of Science and Technology
Abstract : The initial-boundary value problem for a class of nonlinear higher-order wave equations system with a damping and source terms in bounded domain is studied. We prove the existence of global solutions. Meanwhile, under the condition of the positive initial energy, it is showed that the solutions blow up in the finite time and the lifespan estimate of solutions is also given.
Keywords : systems of nonlinear wave equations, damping and source terms, global solutions, blow-up, lifespan of solutions