Existence and uniqueness theorem for a class of singular nonlinear partial differential equations

DOI10.2977/PRIMS/90zbMath1258.35001OpenAlexW2023426427MaRDI QIDQ1932214

Dennis B. Bacani, Hidetoshi Tahara

Publication date: 17 January 2013

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/90

zbMATH Keywords

nonlinearpartial differential equationsBanach fixed point theoremexistence and uniqueness of solutionssingular equations

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) Analyticity in context of PDEs (35A20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cauchy-Kovalevskaya theorems (35A10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

Uniqueness of the solution of nonlinear singular first order partial differential equations ⋮ Unique solvability of second order nonlinear totally characteristic equations ⋮ Unique solvability of some nonlinear partial differential equations with Fuchsian and irregular singularities

Cites Work

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• Singular nonlinear Cauchy problems
• Singular solutions of the Briot-Bouquet type partial differential equations.
• Solvability of partial differential equations of nonlinear totally characteristic type with resonances
• On totally characteristic type nonlinear partial differential equations in the complex domain
• An Elementary Proof of the Cauchy-Kowalevsky Theorem
• Formal solutions of nonlinear first order totally characteristic type PDE with irregular singularity

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