Abstract
This article is devoted to the study of irregular singular points of the linear partial differential equations with holomorphic coefficients. In this paper we consider two important cases of differential equations. In the first case we consider partial differential equation with a special condition on the main symbol of the differential operator, in the second case considered Laplace equation on a manifold with cuspidal singularities. For these cases we construct asymptotics of solution with the help of resurgent analysis.
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ACKNOWLEDGMENTS
Authors are grateful to V. E. Shatalov for attention to the research and useful discussions.
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(Submitted by E. K. Lipachev)
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Korovina, M.V., Smirnov, V.Y. Derivation of Asymptotics of Partial Differential Equations in a Neighborhood of Irregular Singular Points. Lobachevskii J Math 42, 148–154 (2021). https://doi.org/10.1134/S1995080221010194
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DOI: https://doi.org/10.1134/S1995080221010194