Counterexample to the 1-Summability of a Divergent Formal Solution to Some Linear Partial Differential Equations

DOI10.1619/fesi.61.219zbMath1426.35071OpenAlexW2810233721WikidataQ124938836 ScholiaQ124938836MaRDI QIDQ5234836

Kenji Kurogi

Publication date: 4 October 2019

Published in: Funkcialaj Ekvacioj (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1619/fesi.61.219

zbMATH Keywords

Newton polygonsummabilitypartial differential equations

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Series solutions to PDEs (35C10)

Cites Work

• On the summability of formal solutions of linear partial differential equations
• Multisummability of formal solutions of some linear partial differential equations
• Formal power series and linear systems of meromorphic ordinary differential equations
• Multisummability of formal solutions to the Cauchy problem for some linear partial differential equations
• On the Borel summability of divergent solutions of the heat equation
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