Geodesic
Holomorphic regularization of boundary-value problems for Tikhonov systems
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh Winter Mathematical School "Modern Methods of Function Theory and Related Problems." January 28 – February 2, 2019. Part 4, Tome 173 (2019), pp. 65-71.

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One of directions in the development of Lomov's regularization method is the approach related to holomorphic regularization of singularly perturbed problems, which allows one to construct solutions to such problems in the form of series in powers of a small parameter converging in the usual sense. For boundary-value problems, the problem of pseudoholomorphic continuation of solutions is very urgent. In this paper, we examine a boundary-value problem for a Tikhonov system and give conditions for the existence of its pseudoholomorphic solution.
Keywords: holomorphic regularization, pseudoholomorphic solution, Tikhonov system, pseudoholomorphic continuation, essentially singular manifold. 
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V. I. Kachalov. Holomorphic regularization of boundary-value problems for Tikhonov systems. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh Winter Mathematical School "Modern Methods of Function Theory and Related Problems." January 28 – February 2, 2019. Part 4, Tome 173 (2019), pp. 65-71. http://geodesic.mathdoc.fr/item/INTO_2019_173_a5/

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