Development of the Lomov regularization method for a singularly perturbed Cauchy problem and a boundary value problem on the half-line for parabolic equations with a ``simple rational turning point

DOI10.1134/S0012266122030041zbMath1491.35013WikidataQ115248823 ScholiaQ115248823MaRDI QIDQ2671939

A. G. Eliseev, T. A. Ratnikova, D. A. Shaposhnikova

Publication date: 7 June 2022

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

zbMATH Keywords

regularizing functionsconstruction of an asymptotic solution

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Maximum principles in context of PDEs (35B50) Series solutions to PDEs (35C10) Initial value problems for second-order parabolic equations (35K15)

Cites Work

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• Singularly perturbed problems in case of exchange of stabilities
• THEORY OF SINGULAR PERTURBATIONS IN THE CASE OF SPECTRAL SINGULARITIES OF THE LIMIT OPERATOR
• LINEAR EQUATIONS OF THE SECOND ORDER OF PARABOLIC TYPE
• Theory of singular perturbations with a non-smooth spectrum of the limit operator

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