Local C-semigroups and local C-cosine functions

Acta Mathematica Scientia

Volumn 19, Issue 2, 1999, Pages 201-213

  Gao, Mingchu ^a  

^a SHANXI NORMAL UNIVERSITY   (China)

Author keywords

Asymptotic C resolvent; Local C cosine functions; Local C semigroups

Indexed keywords

EID: 0012422911     PISSN: 02529602     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0252-9602(17)30630-6     Document Type: Article

References (9)

1. Tanaka N, Miyadera I. Exponentially bounded C-semigroups and integrated semigroups. Tokyo J Math, 1989, 12(1):99-105
2. Huang F, Huang T. Local C-cosine family theory and application. Chin Ann Math, 1995, 16B(2): 213-232
3. Sun G. Integrated C-semigroups, local C-semigroups and the abstract Cauchy problem [Ph D Dissertation]. Nanjing:Nanjing University, 1993
4. deLaubenfels R. Existence families, functional calculi and evolution equations. In: Lect Notes Math, 1570. New York: Springer-Verlage, 1994
5. Wang H, Wang S. C-cosine operator functions and the applications to the second order abstract Cauchy problem. Funct Anal in China, Kluwer Acad Publ, 1996. 333-350
6. Wang S. Mild integrated C-existence families. Studia Math, 1995, 112(3): 251-266
7. Davies B E, Pang M M H. The Cauchy problem and a generalization of the Hille-Yosida theorem. Pro London Math Soc, 1987, 55(3): 181-208
8. Gao M. C-wellposedness of the complete second order abstract Cauchy problem and applications. Acta Math Sinica (A), 1999, 42(1)
9. deLaubenfels R, Sun G, Wang S. Regularized semigroups, existence families and the abstract Cauchy problem. Different Integ Equat, 1995, 8(6): 1477-1496