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Differential equations which have no solutions

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Linear Partial Differential Operators

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

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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.

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© 1969 Springer-Verlag Berlin Heidelberg

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Hörmander, L. (1969). Differential equations which have no solutions. In: Linear Partial Differential Operators. Die Grundlehren der mathematischen Wissenschaften, vol 116. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-30722-9_6

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  • DOI: https://doi.org/10.1007/978-3-662-30722-9_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-30653-6

  • Online ISBN: 978-3-662-30722-9

  • eBook Packages: Springer Book Archive

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