A Global Existence Theorem for Semilinear Wave Equations in Five Space Dimension

Abstract:

      This paper concerns the global existence of solutions to the semi-linear wave equation u_tt-△u = G(u) in five space dimensions, where G(u) -|u|^p with p > (3+(17)^1/2)/4. We used the classical iteration method and technique estimates to show that a classical global solution exists for the radially symmetric equations with small and compact supported initial data.