Differential equations which have no solutions

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


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.


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