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

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Publication:2686557
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DOI10.1134/S00122661220120047MaRDI QIDQ2686557

A. M. Biryukov

Publication date: 28 February 2023

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


zbMATH Keywords

Banach spaces of entire vector functions


Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Entire solutions to PDEs (35B08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for systems of linear higher-order PDEs (35G46)




Cites Work

  • Unnamed Item
  • A linear differential operator of infinite order and its application
  • Well-posedness of the analytic Cauchy problem in classes of entire functions of finite order
  • Necessary and sufficient conditions for the solvability of the complex Cauchy problem in classes of functions of vector-exponential type


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