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The solutions of a smooth PDE can be dense in C[I]

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Publication:1141824
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DOI10.1016/0022-0396(81)90060-7zbMath0438.35015OpenAlexW2099429520MaRDI QIDQ1141824

R. Creighton Buck

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0022-0396(81)90060-7


zbMATH Keywords

approximationHilbert's problemsKolmogorov solutionuniversal partial differential equations


Mathematics Subject Classification ID

General topics in partial differential equations (35A99)


Related Items (4)

On PDE Characterization of Smooth Hierarchical Functions Computed by Neural Networks ⋮ On a universal differential equation for the analytic terms of \(C^{\infty}\)-superpositions on the real line ⋮ On a method to transform algebraic differential equations into universal equations ⋮ Some Research Problems about Algebraic Differential Equations



Cites Work

  • Approximate complexity and functional representation
  • Unnamed Item




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