Green's formulas for the Kipriyanov $\Delta_B$-operator in the weighted linear form
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh international spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings—XXXIV", Voronezh, May 3-9, 2023, Part 2, Tome 231 (2024), pp. 68-73
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For the Kipriyanov singular differential operator in the Euclidean $n$-half-space, the general Green formula and two its particular cases corresponding to special values of the parameter are obtained.
Keywords:
Bessel operator, Kipriyanov operator, bounded domain with Kipriyanov boundary, weighted linear form, Green's formula
@article{INTO_2024_231_a5,
author = {L. N. Lyakhov and Yu. N. Bulatov},
title = {Green's formulas for the {Kipriyanov} $\Delta_B$-operator in the weighted linear form},
journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
pages = {68--73},
publisher = {mathdoc},
volume = {231},
year = {2024},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTO_2024_231_a5/}
}
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L. N. Lyakhov; Yu. N. Bulatov. Green's formulas for the Kipriyanov $\Delta_B$-operator in the weighted linear form. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh international spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings—XXXIV", Voronezh, May 3-9, 2023, Part 2, Tome 231 (2024), pp. 68-73. http://geodesic.mathdoc.fr/item/INTO_2024_231_a5/