Geodesic
The Cauchy problem for one equation of Sobolev type
Matematičeskie trudy, Tome 21 (2018) no. 1, pp. 125-154.

Voir la notice de l'article provenant de la source Math-Net.Ru

We give necessary and sufficient conditions for the existence of a solution to the Cauchy problem for the equation $\Delta^k\partial^2_tu+(-1)^ku=0$ in the space of tempered distributions. 
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A. L. Pavlov. The Cauchy problem for one equation of Sobolev type. Matematičeskie trudy, Tome 21 (2018) no. 1, pp. 125-154. http://geodesic.mathdoc.fr/item/MT_2018_21_1_a5/

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