Under- and overdetermined systems of differential equations
type: Item
instance of: scholarly article
title: Under- and overdetermined systems of differential equations
zbMATH Open document ID: 1207.35003
author: Werner M. Seiler
published in: Mathematische Semesterberichte
publication date: 2010-10-29T00:00:00Z
review text: This survey is about the notions ``underdetermined'' and ``overdetermined'' for systems of ODEs or of PDEs. There are relatively simple approaches if one considers formal power series solutions only. A modern treatment is based on the geometric theory of jet bundles and on the algebraic dimension theory of polynomial modules. For more details see the author's monography [Involution. The formal theory of differential equations and its applications in computer algebra, Berlin: Springer (2010; Zbl 1205.35003)].
reviewed by: Lutz Recke
Mathematics Subject Classification ID: 35-02
Mathematics Subject Classification ID: 35N99
Mathematics Subject Classification ID: 34A09
Mathematics Subject Classification ID: 35A30
Mathematics Subject Classification ID: 13C15
Mathematics Subject Classification ID: 58A20
zbMATH DE Number: 5808533
zbMATH Keywords: formal power series
zbMATH Keywords: algebraic dimension theory
zbMATH Keywords: polynomial modules
MaRDI profile type: Publication
full work available at URL: s00591-010-0078-2
OpenAlex ID: W2033794815
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DOI: 10.1007/S00591-010-0078-2
description: scientific article; zbMATH DE number 5808533