The critical power of short pulse initial data on the global existence or blowup of smooth solutions to 3-D semilinear Klein-Gordon equations

Jindou Shen, Huicheng Yin

It is well-known that there are global small data smooth solutions for the 3-D semilinear Klein-Gordon equations $\square u+u=F(u,\partial u)$ with cubic nonlinearities. Howe…