On analytic solutions of the heat equation with an operator coefficient

DOI10.1007/s10958-009-9290-9zbMath1182.35227OpenAlexW1967041691MaRDI QIDQ1036957

Sergey L. Gefter, Anna Vershynina

Publication date: 13 November 2009

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9290-9

zbMATH Keywords

heat equationCauchy problemanalytic solutionoperator coefficient\(a\)-holomorphic power series

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Cauchy-Kovalevskaya theorems (35A10) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items

Fundamental solution of the simplest implicit linear differential equation in a vector space

Cites Work

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• ON KOWALEWSKIAN SYSTEMS
• On the Borel summability of divergent solutions of the heat equation
• The Hilbert polynomial for systems of linear partial differential equations with analytic coefficients
• An Abstract Nonlinear Cauchy-Kovalevska Theorem
• Characteristic Cauchy problems and solutions of formal power series

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