Necessary and sufficient conditions for the solvability of the complex Cauchy problem in classes of functions of vector-exponential type

DOI10.1134/S0012266120080066zbMath1450.35124MaRDI QIDQ2195146

A. M. Biryukov

Publication date: 7 September 2020

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

zbMATH Keywords

scales of Banach spacesvector functions of exponential type

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for systems of linear higher-order PDEs (35G40)

Related Items (1)

Well-posedness of the complex Cauchy problem for systems of partial differential equations in spaces of entire functions with integral metrics

Cites Work

• Well-posed solvability of an analytic Cauchy problem in spaces with an integral metric
• A linear differential operator of infinite order and its application
• Complex Cauchy problem in a scale of analytic functions with power-law singularities
• Well-posedness of the analytic Cauchy problem in classes of entire functions of finite order
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