Geodesic
Macdonald operator function and the incomplete Cauchy problem for the Euler--Poisson--Darboux equation
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference on Mathematical Modelling in Applied Sciences — ICMMAS'19. Belgorod, August 20–24, 2019, Tome 195 (2021), pp. 35-43

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

In this paper, we introduce a family of Macdonald operator functions and examine the solvability of the incomplete Cauchy problem for the Euler–Poisson–Darboux equation.
Keywords: semigroup, Macdonald operator function, incomplete Cauchy problem, unique solvability.
Mots-clés : Euler - Poisson - Darboux equation 
@article{INTO_2021_195_a3,
     author = {A. V. Glushak},
     title = {Macdonald operator function and the incomplete {Cauchy} problem for the {Euler--Poisson--Darboux} equation},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {35--43},
     publisher = {mathdoc},
     volume = {195},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2021_195_a3/}
}
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A. V. Glushak. Macdonald operator function and the incomplete Cauchy problem for the Euler--Poisson--Darboux equation. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference on Mathematical Modelling in Applied Sciences — ICMMAS'19. Belgorod, August 20–24, 2019, Tome 195 (2021), pp. 35-43. http://geodesic.mathdoc.fr/item/INTO_2021_195_a3/