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A Riemann–Hilbert Type Problem for a Singularly Perturbed Cauchy–Riemann Equation with a Singularity in the Coefficient

A Riemann–Hilbert Type Problem for a Singularly Perturbed Cauchy–Riemann Equation with a... We consider the Riemann–Hilbert problem for a singularly perturbed system of partialdifferential equations of the Cauchy–Riemann type. Using the Lomov regularization method, weobtain sufficient conditions under which the asymptotic solutions of the problem converge in theusual sense. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

A Riemann–Hilbert Type Problem for a Singularly Perturbed Cauchy–Riemann Equation with a Singularity in the Coefficient

Differential Equations , Volume 58 (3) – Mar 1, 2022

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References (16)

Publisher
Springer Journals
Copyright
Copyright © Pleiades Publishing, Ltd. 2022
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/s0012266122030077
Publisher site
See Article on Publisher Site

Abstract

We consider the Riemann–Hilbert problem for a singularly perturbed system of partialdifferential equations of the Cauchy–Riemann type. Using the Lomov regularization method, weobtain sufficient conditions under which the asymptotic solutions of the problem converge in theusual sense.

Journal

Differential EquationsSpringer Journals

Published: Mar 1, 2022

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