Solvability of partial differential equations of nonlinear totally characteristic type with resonances

DOI10.2969/jmsj/1191418766zbMath1061.35009OpenAlexW2039620812MaRDI QIDQ1425468

Hidetoshi Tahara

Publication date: 21 March 2004

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/1191418766

zbMATH Keywords

Cauchy problemanalytic continuationFuchsian type equation

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Series solutions to PDEs (35C10) Cauchy-Kovalevskaya theorems (35A10) Resonance in context of PDEs (35B34)

Related Items (6)

Existence and uniqueness theorem for a class of singular nonlinear partial differential equations ⋮ Unique solvability of second order nonlinear totally characteristic equations ⋮ Asymptotic existence theorem for formal solutions with singularities of nonlinear partial differential equations via multisummability ⋮ Singular solutions of nonlinear partial differential equations with resonances ⋮ Unique solvability of some nonlinear partial differential equations with Fuchsian and irregular singularities ⋮ Structure of solutions of nonlinear partial differential equations of Gérard-Tahara type

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