Analytic Solutions of Moment Partial Differential Equations with Constant Coefficients

Sławomir Michalik

doi:10.1619/fesi.56.19

著者情報

キーワード: Linear PDEs with constant coefficients, Formal power series, Moment functions, Moment PDEs, k-summability, Multisummability

ジャーナルオープンアクセス

2013 年 56 巻 1 号 p. 19-50

DOI https://doi.org/10.1619/fesi.56.19

詳細

抄録

We consider the Cauchy problem for linear moment partial differential equations with constant coefficients in two complex variables. We construct an integral representation of the solution of this problem and study its analyticity. As a result we derive a characterisation of multisummable formal solutions of the Cauchy problem.

責任著者(Corresponding author)

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