Singular hyperbolic systems, V. Asymptotic expansions for Fuchsian hyperbolic partial differential equations
Singular hyperbolic systems, V. Asymptotic expansions for Fuchsian hyperbolic partial differential equations
In this paper, we study the asymptotic behavior of solutions of Fuchsian hyperbolic partial differential equations (in Tahara ), and determine complete asymptotic expansions of solutions in $C^{\infty}((O, T)\cross R^{n})$ as $tarrow+O$ . Our result corresponds to the well-known result in the theory of ordinary differential equations with regular singularities.Let …