Title: Asymptotic behavior of solutions to semilinear systems of wave equations

Authors: Soichiro Katayama and Hideo Kubo

Issue: Volume 57 (2008), Issue 1, 377-400

Abstract: We consider the Cauchy problem for a class of systems of semilinear wave equations, which is closely connected to the weak null condition and Alinhac's condition. We show that the energy of some global solutions to these systems grows to infinity as time tends to infinity and consequently these solutions never approach any free solutions.