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Formal Solutions of Linear PDEs and Convex Polyhedra

✍ Scribed by F. Aroca; J. Cano

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
357 KB
Volume
32
Category
Article
ISSN
0747-7171

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✦ Synopsis

The Newton polygon construction for ODEs, and Malgrange-Ramis polygon for partial differential equations in one variable are generalized in order to give an algorithm to find solutions of a linear partial differential equation at a singularity. The solutions found involve exponentials, logarithms and Laurent power series with exponents contained in a strongly convex cone.

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