Existence of Solutions with Asymptotic Expansion of Linear Partial Differential Equations in the Complex Domain

  • Sunao Ōuchi

    Sophia University, Tokyo, Japan

Abstract

Consider the linear partial differential equation in , where is not holomorphic on , but it has an asymptotic expansion with respect to as in some sectorial region. We show under some conditions on that there exists a solution which has an asymptotic expansion of the same type as that of .

Cite this article

Sunao Ōuchi, Existence of Solutions with Asymptotic Expansion of Linear Partial Differential Equations in the Complex Domain. Publ. Res. Inst. Math. Sci. 40 (2004), no. 1, pp. 239–294

DOI 10.2977/PRIMS/1145475972