Uniqueness of the solution of some nonlinear singular partial differential equations of the second order

Hidetoshi Tahara

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arXiv · 2110.08433

Uniqueness of the solution of some nonlinear singular partial differential equations of the second order

Hidetoshi Tahara

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Abstract

In this paper, we consider a nonlinear Fuchsian type partial differential equation of the second order in the complex domain. Under a very weak assumption, we show the uniqueness of the solution. The result is applied to the problem of analytic continuation of local holomorphic solutions of this equation.

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Hidetoshi Tahara. 2021-10-16. Uniqueness of the solution of some nonlinear singular partial differential equations of the second order. https://arxiv.org/abs/2110.08433

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