Singular hyperbolic systems, VI. Asymptotic analysis for Fuchsian hyperbolic equations in Gevrey classes
Singular hyperbolic systems, VI. Asymptotic analysis for Fuchsian hyperbolic equations in Gevrey classes
In the previous papers [11,12,13], the author has investigated Fuchsian $hypert)olic$ equations in $C^{\infty}$ function spaces.But, here, Fuchsian hyperbolic equations are studied in Gevrey function spaces.The motivation is as follows.Letwherebe the roots of $\rho^{2}+b(0, x)\rho+c(O, x)=0$ and assume that $\rho_{1}(x),$ $\rho_{2}(x)\not\in Z_{+}$ $(=\{0,1, 2, \})$ for any $x\in R^{2}$ .Then, …