Abstract
Although we shall mainly be concerned in this Part with differential equations, the methods we use here for their discussion and solution are intimately connected with the geometry of the rest of the volume. In particular, the results obtained depend to a great extent on the theory of modules and the intersections of a set of algebraic varieties, considered in Part Seven and, occasionally, in Parts Five and Six. This arises essentially from the fact that there exists an isomorphism between the commutative ring of linear differential operators with constant coefficients and the ring of polynominals in a finite number of indeterminates.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1971 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Segre, B. (1971). Linear Partial Differential Equations. In: Some Properties of Differentiable Varieties and Transformations. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 13. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-65006-2_8
Download citation
DOI: https://doi.org/10.1007/978-3-642-65006-2_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-65008-6
Online ISBN: 978-3-642-65006-2
eBook Packages: Springer Book Archive