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Existence and Approximation of Solutions to a Linear Partial Differential Equation

  • François Treves
Part of the Die Grundlehren der mathematischen Wissenschaften book series (GL, volume 146)

Abstract

In this section, we denote by Ω an open subset of the Euclidean space R n and by P, a differential operator (i.e., a linear partial differential operator with C coefficients) in Ω. However, all the statements and results extend, with appropriate but obvious adaptations (in particular, concerning duality), to the case where Ω is a C manifold, countable at infinity, and P a V-W-differential operator in Ω, V, W denoting two finite dimensional complex vector bundles over Ω.

Keywords

Differential Operator Open Subset Constant Coefficient Homogeneous Equation Chapter VIII 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin · Heidelberg 1967

Authors and Affiliations

  • François Treves
    • 1
  1. 1.Purdue UniversityLafayetteUSA

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