A Riemann-Hilbert type problem for a singularly perturbed Cauchy-Riemann equation with a singularity in the coefficient

DOI10.1134/S0012266122030077zbMath1491.35305WikidataQ114075328 ScholiaQ114075328MaRDI QIDQ2671942

Yu. S. Fedorov

Publication date: 7 June 2022

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

regularizationCauchy-Riemann equationRiemann-Hilbert-type problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Riemann-Hilbert problems in context of PDEs (35Q15) Methods of ordinary differential equations applied to PDEs (35A24)

Cites Work

• A generalization of the regularization method to the singularly perturbed integro-differential equations with partial derivatives
• Singularly perturbed Cauchy-Riemann equation with a singularity in the lower coefficient
• A BOUNDARY VALUE PROBLEM OF LINEAR CONJUGATION IN THE THEORY OF FUNCTIONS
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