Lai S Y. The global and local C2-solutions for the wave equation □u=G(ut,Du) in three space dimensions[J]. Acta Mathematica Scientia,2000,B20(4):495-503.
Kubota K. Existence of a global solution to semilinear wave equations with initial data of noncompact support in low space dimensions[J]. Hokkaido Math,1993,22(1):123-180.
[5]
Asakura F. Existence of a global solution to a semi-linear wave equation with slowly decreasing initial data in three space dimensions[J]. Communications in Partial Differential Equations,1986,11(13):1459-1487.
John F. Blow-up of solutions of nonlinear wave equations in three space dimensions[J]. Manuscripta Mathethatica,1979,28(1/3):235-268.
[10]
Schaeffer J. The equation utt-△u=|u|p for the critical values of p[J]. Proceedings of the Royal Society Edinburgh,1985,A101:31-44.
[11]
John F. Blow-up for quasi-linear wave equations in three space dimensions[J]. Communications on Pure and Applied Mathematics,1981,34(1):29-51.
[12]
Mathiroyuki T. Global existence for nonlinear wave equations with small data of noncompact support in three space dimensions[J]. Communications in Partial Differential Equations,1992,17(1/2):189-204.
[13]
Sideris T C. Global behavior of solutions to nonlinear wave equations in three space dimensions[J]. Communications in Partial Differential Equations,1983,12(8):1291-1323.
[14]
Runio H. Initial values problem of semilinear wave equations in three space dimensions[J]. Nonlinear Analysis,1996,26(5):941-970.