Email this article Holomorphic Regularization of Singular Perturbations in a Banach Space
- Authors: Kachalov V.I.1
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Affiliations:
- National Research University “Moscow Power Engineering Institute,”
- Issue: Vol 54, No 6 (2018)
- Pages: 790-798
- Section: Partial Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/154775
- DOI: https://doi.org/10.1134/S0012266118060071
- ID: 154775
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Abstract
The holomorphic regularization method, which is a natural extension of Lomov’s regularization method, is used to solve strongly nonlinear singularly perturbed equations in Banach spaces. The existence of pseudoholomorphic solutions of such equations is proved, and the analytic properties of their Galerkin approximations are studied.
About the authors
V. I. Kachalov
National Research University “Moscow Power Engineering Institute,”
Author for correspondence.
Email: vikachalov@rambler.ru
Russian Federation, Moscow, 111250
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