Representative systems of exponentials and the Cauchy problem for partial differential equations with constant coefficients

DOI10.1070/IM1997V061N03ABEH000127zbMath0903.35013OpenAlexW1984754004MaRDI QIDQ4382573

Yu. F. Korobeĭnik

Publication date: 25 March 1998

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1997v061n03abeh000127

zbMATH Keywords

spaces of entire functionscharacteristic Cauchy problemsrepresentative systems of exponentialsalgebraic properties of the characteristic polynomialnon-Kovalewskian equations

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) Power series, series of functions of several complex variables (32A05) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

Related Items (3)

Holomorphic solutions of soliton equations ⋮ Coefficients of exponential series for analytic functions and the Pommiez operator ⋮ A Refinement of Kovalevskaya’s Theorem on Analytic Solvability of the Cauchy Problem

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