An orderly linear PDE system with analytic initial conditions with a non-analytic solution.

DOI10.1016/S0747-7171(03)00017-8zbMath1070.35003OpenAlexW2023470314MaRDI QIDQ1404415

François Lemaire

Publication date: 21 August 2003

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0747-7171(03)00017-8

zbMATH Keywords

analyticity Riquier theoremorderly ranking

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Cauchy-Kovalevskaya theorems (35A10)

Related Items (6)

From algebra to analysis: New proofs of theorems by Ritt and Seidenberg ⋮ Algebraic Theory of Linear Systems: A Survey ⋮ A nullstellensatz for linear partial differential equations with polynomial coefficients ⋮ Algorithmic calculus for Lie determining systems ⋮ Automatic pre- and postconditions for partial differential equations ⋮ On the Coalgebra of Partial Differential Equations

Cites Work

• Associative differential operations
• Abstract Differential Algebra and the Analytic Case
• Specializations in Differential Algebra
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