Almost global existence for some semilinear wave equations

P. S. Datti,Nonlinear wave equations in exterior domains, Nonlinear Anal.15 (1990), 321–331.

F. John and S. Klainerman,Almost global existence to nonlinear wave equations in three dimensions Comm. Pure Appl. Math.37 (1984), 443–455.

M. Keel, H. Smith and C. D. Sogge,Global existence for a quaslinear wave equation outside of star-shaped domains, J. Funct. Anal.189 (2002), 155–226.

S. Klainerman,Uniform decay estimates and the Lorentz invariance of the classical wave equation, Comm. Pure Appl. Math.38 (1985), 321–332.

S. Klainerman and T. Sideris,On almost global existence for nonrelativistic wave equations in 3d, Comm. Pure Appl. Math.49 (1996), 307–321.

P. D. Lax, C. S. Morawetz and R. S. Phillips,Exponential decay of solutions of the wave equation in the exterior of a star-shaped obstacle, Comm. Pure Appl. Math.16 (1963), 477–486.

C. S. Morawetz,The decay of solutions of the exterior initial-boundary problem for the wave equation, Comm. Pure Appl. Math.14 (1961), 561–568.

C. S. Morawetz, J. Ralston and W. Strauss,Decay of solutions of the wave equation outside nontrapping obstacles, Comm. Pure Appl. Math.30 (1977), 447–508.

H. Smith and C. D. Sogge,Global Strichartz estimates for nontrapping perturbations of the Laplacian, Comm. Partial Differential Equations25 (2000), 2171–2183.