论文标题
一些非线性方程式的抛物线引导程序
Parabolic bootstrap for some non-linear equations
论文作者
论文摘要
我们获得了一类线性,准线性和非线性二阶部分偏微分方程的系统的适当性和舒特尔估计。我们推断出非线性和非本地方程的全局平滑解决方案的存在和唯一性,我们称之为“半”不可压缩的Navier Stokes方程。
We obtain the well-posedness and Schauder estimates for a class of system of linear, quasi-linear and non-linear second order partial differential equations. We deduce existence and uniqueness of a global smooth solution of a non-linear and non-local equation that we call "semi" incompressible Navier Stokes equation in R 3 .