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)


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.


Manifold Dition 


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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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