A Cauchy-kovalevskaja Type Theorem in The Gevrey Class with A Vector-Valued Time Variable

DOI10.1080/03605309208820893zbMath0816.35013OpenAlexW1982318401MaRDI QIDQ4030399

Takesi Yamanaka

Publication date: 1 April 1993

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309208820893

zbMATH Keywords

Gevrey type functionsCauchy-Kovalevskaja type theorem

Mathematics Subject Classification ID

Initial value problems for nonlinear higher-order PDEs (35G25) Cauchy-Kovalevskaya theorems (35A10)

Related Items

Null boundary controllability for semilinear heat equations ⋮ Exact controllability of semilinear heat equations in spaces of analytic functions ⋮ A Cauchy-Kovalevskaja type theory in the Gevrey class for PDEs with shrinkings ⋮ Cauchy-Kovalevskaya theory for nonlinear equations with deviating variables ⋮ Infinite dimensional Cauchy-Kowalevski and Holmgren type theorems

Cites Work

• A new higher order chain rule and Gevrey class