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Differential equations which have no solutions

  • Lars Hörmander
Part of the Die Grundlehren der mathematischen Wissenschaften book series (GL, volume 116)

Abstract

In Chapter III we proved that a differential equation with constant coefficients can be solved for an arbitrary right-hand side f, at least in relatively compact open subsets of the open set where f is defined. It was discovered rather recently by H. Lewy [1] that the situation is completely different when the coefficients are variable.

Keywords

Differential Operator Variable Coefficient Order Differential Operator Linear Partial Differential Operator Real Symmetric Matrix 
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 1969

Authors and Affiliations

  • Lars Hörmander
    • 1
  1. 1.University of LundSweden

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