Summability in a monomial for some classes of singularly perturbed partial differential equations

DOI10.5565/PUBLMAT6512103zbMath1477.35065arXiv1803.06719OpenAlexW2791976399WikidataQ115159251 ScholiaQ115159251MaRDI QIDQ2232000

Sergio A. Carrillo

Publication date: 1 October 2021

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.06719

zbMATH Keywords

Borel summabilitymonomial summabilitysingularly perturbed PDEs

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Series solutions to PDEs (35C10) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (2)

Tauberian theorems for \(k\)-summability with respect to an analytic germ ⋮ Formal Gevrey solutions: in analytic germs -- for higher order holomorphic PDEs

Cites Work

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• An extension of Borel-Laplace methods and monomial summability
• Nonlinear evolution PDEs in \(\mathbb R^+ \times \mathbb C^d\): existence and uniqueness of solutions, asymptotic and Borel summability properties
• Gevrey solutions of singularly perturbed differential equations

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