关于一类奇异非线性一阶偏微分方程

IF 0.4 4区数学 Q4 MATHEMATICS

Tokyo Journal of Mathematics Pub Date : 2020-10-04 DOI:10.3836/tjm/1502179352

H. Tahara

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引用次数: 0

摘要

在本文中，我们考虑一类奇异非线性一阶偏微分方程$t（\partial u/\partial t）=F（t，x，u，\partial u/\partial x）$，其中$（t，x）\In\mathbb｛R｝\times\mathb｛C｝$，假设$F（t、x，z_1，z_2）$是一个在$t$中连续且在其他变量中全纯的函数。在适当的条件下，我们确定了该方程在原点邻域内的所有解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On a Class of Singular Nonlinear First Order Partial Differential Equations

In this paper, we consider a class of singular nonlinear first order partial differential equations $t(\partial u/\partial t)=F(t,x,u, \partial u/\partial x)$ with $(t,x) \in \mathbb{R} \times \mathbb{C}$ under the assumption that $F(t,x,z_1,z_2)$ is a function which is continuous in $t$ and holomorphic in the other variables. Under suitable conditions, we determine all the solutions of this equation in a neighborhood of the origin.

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来源期刊

Tokyo Journal of Mathematics MATHEMATICS-

CiteScore

0.70

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： The Tokyo Journal of Mathematics was founded in 1978 with the financial support of six institutions in the Tokyo area: Gakushuin University, Keio University, Sophia University, Tokyo Metropolitan University, Tsuda College, and Waseda University. In 2000 Chuo University and Meiji University, in 2005 Tokai University, and in 2013 Tokyo University of Science, joined as supporting institutions.