Structure of Solutions of Nonlinear Partial Differential Equations of Gérard–Tahara Type | Zendy

Hidetoshi Tahara | Zendy; Hiroshi Yamazawa | Zendy

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Structure of Solutions of Nonlinear Partial Differential Equations of Gérard–Tahara Type

Author(s) -

Hidetoshi Tahara,

Hiroshi Yamazawa

Publication year - 2005

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1145475358

Subject(s) - mathematics , type (biology) , nonlinear system , mathematical analysis , partial differential equation , physics , geology , quantum mechanics , paleontology

Let us consider the following nonlinear singular partial differential equation t ∂ ∂t m in the complex domain. When the equation is of Fuchsian type with respect to t, holomorphic and singular solutions were investigated quite well by Gerard-Tahara under some assumptions on characteristic exponents. In this paper, the same type of equations is solved in the general case without any assumption on characteristic exponents.

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