Holomorphic Regularization of Boundary-Value Problems for Tikhonov Systems

被引：0
|
作者：
Kachalov V.I. [1 ]
机构：
[1] National Research University “Moscow Power Engineering Institute”, Moscow
来源：
Journal of Mathematical Sciences | 2022年 / 268卷 / 1期
关键词：
34E05; 34E20; essentially singular manifold; holomorphic regularization; pseudo-holomorphic continuation; pseudo-holomorphic solution; Tikhonov system;
D O I：
10.1007/s10958-022-06180-5
中图分类号：
学科分类号：
摘要：
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 that converge in the usual sense. For boundary-value problems, the problem of pseudo-holomorphic 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 pseudo-holomorphic solution. © 2022, Springer Science+Business Media, LLC, part of Springer Nature.
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页码：63 / 69
页数：6
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