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

2021/10/16 by Tahara, Hidetoshi
#35A02 #35B60 #35G20 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2110.08433

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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