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. 
@article{MT_2018_21_1_a5,
     author = {A. L. Pavlov},
     title = {The {Cauchy} problem for one equation of {Sobolev} type},
     journal = {Matemati\v{c}eskie trudy},
     pages = {125--154},
     publisher = {mathdoc},
     volume = {21},
     number = {1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2018_21_1_a5/}
}
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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/