Linear Partial Differential Equations

  • Beniamino Segre
Conference paper
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE2, volume 13)


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.


Constant Coefficient Algebraic Variety Elementary Operation Linear Partial Differential Equation Ordinary Linear Differential Equation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1971

Authors and Affiliations

  • Beniamino Segre
    • 1
  1. 1.Istituto MatematicoUniversità di RomaRomaItaly

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