論文中文摘要: | An initial–boundary-value problem for a class of wave equations with nonlinear damping and source terms in a bounded domain is considered. We establish the non-existence result of global solutions with the initial energy controlled above by a critical value via the method introduced in a work by Autuori et al. in 2010. This improves the 2009 result of Liu and Wang.
a,b>0, associated with initial and Dirichlet boundary conditions. We prove, under suitable conditions on α,β,m,p and for negative initial energy, a global non-existence theorem. This improves a result by Yang (Math. Meth. Appl. Sci. 2002; 25:825–833), who requires that the initial energy be sufficiently negative and relates the global non-existence of solutions to the size of Ω. |