Global nonexistence of solutions with positive initial energy for a class of wave equations

摘要

In this study, we consider a class of wave equations with strong damping and source terms associated with initial and Dirichlet boundary conditions. We establish a blow up result for certain solutions with nonpositive initial energy as well as positive initial energy. This further improves the results by Yang (Math. Meth. Appl. Sci. 2002 25:825-833) and Messaoudi and Houari (Math. Meth. Appl. Sci. 2004; 27: 1687-1696).