The Cauchy Problem for a Parabolic System with Variable
Coefficients in Anisotropic Zygmund Spaces
摘要
Abstract
The Cauchy problem for a second-order parabolic system with coefficients anda right-hand side that belong to a Zygmund anisotropic space is considered. A smoothness scale ofthe Cauchy problem solutions in anisotropic Zygmund spaces is obtained. A priori estimates forsolutions to uniformly elliptic systems in isotropic Zygmund spaces are derived.