Geodesic
Equations of principal type witgout solution
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 29 (1974) no. 2, pp. 176-194

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In this paper we give necessary conditions for the local solubility of linear differential and pseudodifferential equations with smooth coefficients. Our results generalize those of H. Lewi, Hörmander, Nirenberg, Treves, Egorov, and others, described in the survey paper [16] (see also [17], [18]). 
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     title = {Equations of principal type witgout solution},
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Yu. V. Egorov; P. R. Popivanov. Equations of principal type witgout solution. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 29 (1974) no. 2, pp. 176-194. http://geodesic.mathdoc.fr/item/RM_1974_29_2_a12/