Vol. 182, No. 1, 1998

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Abstract parabolic systems and regularized semigroups

Quan Zheng and Yongsheng Li

Vol. 182 (1998), No. 1, 183–199
Abstract

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.

Milestones
Received: 20 May 1996
Revised: 27 February 1997
Published: 1 January 1998
Authors
Quan Zheng
Huazhong Univ. of Science & Technology
Wuhan 430074
P.R. of China
Yongsheng Li
Institute of Applied Physics and Computational Mathematics
P.O. Box 8009-26, Beijing 100088
P.R. of China