Vol. 186, No. 1, 1998

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Differential operators and C-wellposedness of complete second order abstract Cauchy problems

Xiao Tijun and Liang Jin

Vol. 186 (1998), No. 1, 167–200
Abstract

This paper presents a unified treatment of the complete second order Cauchy problem with differential operators as coefficient operators in Lp(Rn) (1 p ≤∞) or other function spaces. Concise criteria for strong C-wellposedness and analytic wellposedness of the Cauchy problem are obtained.

Milestones
Received: 2 April 1997
Revised: 11 September 1997
Published: 1 November 1998
Authors
Xiao Tijun
University of Science and Technology of China
Hefei 230026, Anhui
People’s Republic of China
Liang Jin
University of Science and Technology of China
Hefei 230026, Anhui
People’s Republic of China