A remark on Cauchy-Kowalevski's theorem

DOI10.2977/PRIMS/1195192180zbMath0301.35004OpenAlexW2052839942MaRDI QIDQ1215758

Masatake Miyake

Publication date: 1974

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

Full work available at URL: https://doi.org/10.2977/prims/1195192180

Mathematics Subject Classification ID

Cauchy-Kovalevskaya theorems (35A10) Initial value problems for linear first-order PDEs (35F10) Linear higher-order PDEs (35G05)

Related Items (9)

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 ⋮ Unnamed Item ⋮ On Cauchy-Kowalevski's theorem for general systems ⋮ On \(k\)-summability of formal solutions for a class of partial differential operators with time dependent coefficients ⋮ A remark on the inverse theorem of Cauchy-Kovalevskaya ⋮ Global and local goursat problems in a class of holomorphic or partially holomorphic functions ⋮ On Cauchy-Kowalevski's theorem; a necessary condition ⋮ A remark on a necessary condition of the Cauchy-Kowalevski theorem

Cites Work

• Degenerate parabolic differential equations: Necessity of the well- posedness of the Cauchy problem
• On the initial-value problems with data on a double characteristic
• On the initial-value problems with data on a characteristic surface for linear systems of first order equations

This page was built for publication: A remark on Cauchy-Kowalevski's theorem