Sectorial solution to semilinear singular partial differential equation |
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| Authors: | Masafumi Yoshino |
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| Affiliation: | 1. Department of Mathematics, Graduate School of Science Hiroshima University, 1-3-1 Kagamiyama, Higashi-Hiroshima, 739-8526, Hiroshima, Japan
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| Abstract: | We shall show the solvability of semilinear Fuchsian partial differential systems in a multi-sectorial domain. Our equation contains a linearizing equation of a singular vector field to its linear part when so-called small denominators occur. We will show the existence of an analytic solution in a multi-sectorial domain without assuming any Diophantine condition. |
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