On a linear hyperbolic equation with smooth coefficients without solutions

ArticleOriginal scientific text

Title

Authors ¹

Université Paul Sabatier, UFR MIG, Labo MIP, Route de Narbonne, 118, 31062 Toulouse, France

An example of a locally unsolvable hyperbolic equation of the second order is constructed, which has smooth (

C^{\infty}

) coefficients, but has no solutions in the class of distributions.

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