Decomposition of solutions of the Cauchy problem of a quasi-homogeneous partial differential equation

DOI10.2977/PRIMS/72zbMath1258.35053WikidataQ115224765 ScholiaQ115224765MaRDI QIDQ435224

Masatake Miyake, Kunio Ichinobe

Publication date: 11 July 2012

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemdecomposition of solutionssummability of formal solutions

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

Cites Work

• From divergent power series to analytic functions. Theory and application of multisummable power series
• Integral representation for Borel sum of divergent solution to a certain non-Kowalevski type equation
• On the Borel summability of divergent solutions of the heat equation
• The Borel sum of divergent Barnes hypergeometric series and its application to a partial differential equation
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