Formal solutions of linear PDEs and convex polyhedra. Effective methods in rings of differential operators.

DOI10.1006/jsco.2001.0492zbMath1077.35040OpenAlexW2054688955MaRDI QIDQ5960302

José Maria Cano, Fuensanta Aroca

Publication date: 15 April 2002

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

Full work available at URL: https://doi.org/10.1006/jsco.2001.0492

Mathematics Subject Classification ID

Asymptotic expansions of solutions to PDEs (35C20) Solutions to PDEs in closed form (35C05) Abstract differential equations (12H20)

Related Items (6)

Some geometric aspects of Puiseux surfaces ⋮ Puiseux parametric equations of analytic sets ⋮ Formal Laurent series in several variables ⋮ Generalized power series solutions to linear partial differential equations ⋮ Apparent singularities of D-finite systems ⋮ PUISEUX POWER SERIES SOLUTIONS FOR SYSTEMS OF EQUATIONS

Cites Work

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• Differential equations with polynomial coefficients
• Fiber polytopes and fractional power series
• Gröbner deformations of hypergeometric differential equations
• Convergent solutions of ordinary linear homogeneous differential equations in the neighborhood of an irregular singular point
• Théorèmes d’indices Gevrey pour les équations différentielles ordinaires

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