The Fuchsian approach to global existence for hyperbolic equations
The Fuchsian approach to global existence for hyperbolic equations
We analyze the Cauchy problem for symmetric hyperbolic equations with a time singularity of Fuchsian type and establish a global existence theory along with decay estimates for evolutions toward the singular time under a small initial data assumption. We, then, apply this theory to semilinear wave equations near spatial infinity …