On well-posedness of parabolic equations of Navier-Stokes type with BMO^{-1}(\R^n) data
On well-posedness of parabolic equations of Navier-Stokes type with BMO^{-1}(\R^n) data
复制标题
DOI：
--
复制
发表时间：
2014-12
期刊：
影响因子：
--
通讯作者：
P. Auscher;D. Frey
中科院分区：
文献类型：
--
作者：
P. Auscher;D. Frey
We develop a strategy making extensive use of tent spaces to study parabolic equa-tions with quadratic nonlinearities as for the Navier-Stokes system. We begin with a new proof of the well-known result of Koch and Tataru on the well-posedness of Navier-Stokes equations in \R^n with small initial data in BMO^{-1}(\R^n). We then study another model where neither pointwise kernel bounds nor self-adjointness are available.
