The method of Frobenius to Fuchsian partial differential equations

DOI10.2969/JMSJ/05230645zbMath0993.35004OpenAlexW1963592332MaRDI QIDQ1585910

Takeshi Mandai

Publication date: 19 September 2002

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/05230645

zbMATH Keywords

regular singularitycharacteristic index

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (11)

Double-scale Gevrey asymptotics for logarithmic type solutions to singularly perturbed linear initial value problems ⋮ On Gevrey functional solutions of partial differential equations with Fuchsian and irregular singularities ⋮ On \(q\)-asymptotics for linear \(q\)-difference-differential equations with Fuchsian and irregular singularities ⋮ On the summability of formal solutions for doubly singular nonlinear partial differential equations ⋮ Singular solutions of nonlinear partial differential equations with resonances ⋮ A singular Cauchy problem for the Euler-Poisson-Darboux equation ⋮ On complex singularity analysis for some linear partial differential equations in \(\mathbb C^3\) ⋮ Gevrey multiscale expansions of singular solutions of PDEs with cubic nonlinearity ⋮ The asymptotic behavior of singular solutions of some nonlinear partial differential equations in the complex domain ⋮ Structure of solutions of nonlinear partial differential equations of Gérard-Tahara type ⋮ On the Cauchy problem for a class of iterated Fuchsian partial differential equations

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