Derivation of asymptotics of partial differential equations in a neighborhood of irregular singular points

DOI10.1134/S1995080221010194zbMath1460.35163OpenAlexW3135534903WikidataQ115247360 ScholiaQ115247360MaRDI QIDQ2656418

V. Yu. Smirnov, M. V. Korovina

Publication date: 11 March 2021

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080221010194

zbMATH Keywords

asymptoticsLaplace equationLaplace-Borel transformmanifold with singularity

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Elliptic equations on manifolds, general theory (58J05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

• Unnamed Item
• Computation of the asymptotics of solutions for equations with polynomial degeneration of the coefficients
• Repeated quantization method and its applications to the construction of asymptotics of solutions of equations with degeneration
• Existence of resurgent solutions for equations with higher-order degeneration
• Differential equations with degeneracies
• Asymptotics solutions of equations with higher-order degeneracies
• Construction of asymptotics of solutions of differential equations with cusp-type degeneration in the coefficients in the case of multiple roots of the highest-order symbol

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