Translator Disclaimer
2021 On a Class of Singular Nonlinear First Order Partial Differential Equations
Hidetoshi TAHARA
Tokyo J. Math. Advance Publication 1-27 (2021). DOI: 10.3836/tjm/1502179352

Abstract

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.

Citation

Download Citation

Hidetoshi TAHARA. "On a Class of Singular Nonlinear First Order Partial Differential Equations." Tokyo J. Math. Advance Publication 1 - 27, 2021. https://doi.org/10.3836/tjm/1502179352

Information

Published: 2021
First available in Project Euclid: 4 October 2021

Digital Object Identifier: 10.3836/tjm/1502179352

Subjects:
Primary: 35F20

Rights: Copyright © 2021 Publication Committee for the Tokyo Journal of Mathematics

JOURNAL ARTICLE
27 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Advance Publication
Back to Top