Geodesic
Holomorphic regularization in the theory of boundary-value problems
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 4, Tome 193 (2021), pp. 11-16

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

The method of holomorphic regularization of singular perturbations is applied to a boundary-value problem for a second-order equation. We prove that after an precise description of singularities, the regular part of the solution depends analytically on the parameter.
Keywords: Tikhonov system, holomorphic regularization, analytic integral, pseudoholomorphic solution. 
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     author = {M. I. Besova},
     title = {Holomorphic regularization in the theory of boundary-value problems},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {11--16},
     publisher = {mathdoc},
     volume = {193},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2021_193_a1/}
}
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M. I. Besova. Holomorphic regularization in the theory of boundary-value problems. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 4, Tome 193 (2021), pp. 11-16. http://geodesic.mathdoc.fr/item/INTO_2021_193_a1/