Holomorphic and singular solutions of nonlinear singular first order partial differential equations
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Publication:1174619
DOI10.2977/prims/1195170572zbMath0736.35022OpenAlexW2013212364MaRDI QIDQ1174619
Raymond Gerard, Hidetoshi Tahara
Publication date: 25 June 1992
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/1195170572
Analyticity in context of PDEs (35A20) PDEs with low regular coefficients and/or low regular data (35R05) Initial value problems for nonlinear first-order PDEs (35F25) Holomorphic functions of several complex variables (32A10)
Related Items (14)
Uniqueness of the solution of nonlinear singular first order partial differential equations ⋮ Singular and holomorphic solutions of singular nonlinear partial differential equations. ⋮ ON SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS OF BRIOT–BOUQUET TYPE ⋮ Existence and uniqueness theorem for a class of singular nonlinear partial differential equations ⋮ On a class of singular nonlinear first order partial differential equations ⋮ On a reduction of nonlinear partial differential equations of Briot-Bouquet type ⋮ On totally characteristic type nonlinear partial differential equations in the complex domain ⋮ Coupling of two partial differential equations and its application. II: The case of Briot-Bouquet type PDEs ⋮ On the unique solvability of certain nonlinear singular partial differential equations ⋮ Formal solutions of nonlinear first order totally characteristic type PDE with irregular singularity ⋮ Gevrey multiscale expansions of singular solutions of PDEs with cubic nonlinearity ⋮ Unique solvability of some nonlinear partial differential equations with Fuchsian and irregular singularities ⋮ Nonlinear singular first order partial differential equations whose characteristic exponent takes a positive integral value ⋮ Structure of solutions of nonlinear partial differential equations of Gérard-Tahara type
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