On the unique solvability of nonlinear Fuchsian partial differential equations

DOI10.3836/tjm/1502179268zbMath1402.35084OpenAlexW2784751491MaRDI QIDQ1989651

Dennis B. Bacani, Jose Ernie C. Lope, Hidetoshi Tahara

Publication date: 26 October 2018

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1502179268

zbMATH Keywords

existence and uniquenesssingular nonlinear partial differential equation

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Nonlinear higher-order PDEs (35G20) Cauchy-Kovalevskaya theorems (35A10)

Related Items (2)

Singular Solutions to Monge-Ampère Equation ⋮ Unique solvability of second order nonlinear totally characteristic equations

Cites Work

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• Singular and holomorphic solutions of singular nonlinear partial differential equations.
• An abstract form of the nonlinear Cauchy-Kowalewski theorem
• Structure of solutions of nonlinear partial differential equations of Gérard-Tahara type
• An Elementary Proof of the Cauchy-Kowalevsky Theorem
• Cauchy problems with characteristic initial hypersurface

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