We give a decomposition formula for the formal solution of the Cauchy problem for a quasi-homogeneous partial differential equation with constant coecients in the two-dimensional complex plane. The decomposition formula, Theorem 1.1, is given in a form associated with the factorization of the relevant operator which is similar to the decomposition of the solution of an ordinary differential equation with constant coefficients.
Cite this article
Kunio Ichinobe, Masatake Miyake, Decomposition of Solutions of the Cauchy Problem of a Quasi-Homogeneous Partial Differential Equation. Publ. Res. Inst. Math. Sci. 48 (2012), no. 2, pp. 373–388DOI 10.2977/PRIMS/72