论文标题
在一类单数非线性一阶偏微分方程上
On a class of singular nonlinear first order partial differential equations
论文作者
论文摘要
在本文中，我们考虑了一类单数非线性一阶部分差分方程$ t（\ partial u/\ partial t）= f（t，x，x，x，u，\ partial u/\ partial u/\ partial x）$ at $（t，x）\ in \ mathbb {r} \ mathbb {r} \ times \ times \ times \ mathbb {c}在其他变量中连续$ t $和全态。在适当的条件下，我们确定了原点附近的所有解决方案。
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.
