Geodesic
On formal solutions of the H\"ormander’s initial-boundary value problem in the class of Laurent series
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 3, pp. 278-285

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We define a derivation of the ring of Laurent series with supports in rational cones and prove existence and uniqueness of a solution to an analog of one initial-boundary value problem of Hörmander for polynomial differential operators with constant coefficients in the class of formal Laurent series.
Keywords: differential operator, the Hörmander’s problem, difference equations
Mots-clés : multiple Laurent series. 
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     title = {On formal solutions of the {H\"ormander{\textquoteright}s} initial-boundary value problem in the class of {Laurent} series},
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Evgeny K. Leinartas; Tatiana I. Yakovleva. On formal solutions of the H\"ormander’s initial-boundary value problem in the class of Laurent series. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 3, pp. 278-285. http://geodesic.mathdoc.fr/item/JSFU_2018_11_3_a1/