Abstract parabolic systems and regularized semigroups
Quan Zheng, Yongsheng Li · Pacific Journal of Mathematics · 1998
The main purpose of this paper is to obtain the wellposedness of abstract parabolic systems in the sense of Petrovsij and Shilov under sharper conditions by using regularized semigroups.We also consider these systems with time-dependent coefficients, and give the applications to the corresponding parabolic systems on many function spaces.