Convergent and Divergent Solutions of Singular Partial Differential Equations with Resonance or Small Denominators | Zendy

Masafumi Yoshino | Zendy

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Convergent and Divergent Solutions of Singular Partial Differential Equations with Resonance or Small Denominators

Author(s) -

Masafumi Yoshino

Publication year - 2007

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/1201012374

Subject(s) - mathematics , holomorphic function , nonlinear system , mathematical analysis , singular solution , partial differential equation , resonance (particle physics) , class (philosophy) , pure mathematics , physics , particle physics , quantum mechanics , artificial intelligence , computer science

We show the solvability and nonsolvability of a singular nonlinear system of partial differential equations with resonance in a class of functions holomorphic in some neighborhood of the origin. These results are applied to the normal form theory of a singular vector field.

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