An example of Newton's method for an equation in Gevrey series

DOI10.1016/j.jde.2014.09.002zbMath1309.34147arXiv1304.6621OpenAlexW2964289419MaRDI QIDQ462912

Alexander Getmanenko

Publication date: 22 October 2014

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

Full work available at URL: https://arxiv.org/abs/1304.6621

zbMATH Keywords

anharmonic oscillatorcomplex WKB

Mathematics Subject Classification ID

Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

Cites Work

• Semiclassical low energy scattering for one-dimensional Schrödinger operators with exponentially decaying potentials
• Borel summability of the heat equation with variable coefficients
• Modèles de résurgence paramétrique: Fonctions d'Airy et cylindro-paraboliques
• Formal power series and linear systems of meromorphic ordinary differential equations
• Resurgent Analysis of the Witten Laplacian in One Dimension
• Microlocal properties of sheaves and complex WKB
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