Geodesic
Local integrated $C$-semigroups
Miao Li 1   ; Fa-lun Huang 2   ; Quan Zheng 1
1 Department of Mathematics Huazhong University of Science and Technology Wuhan, Hubei 430074 People's Republic of China
2 Department of Mathematics Sichuan University Chengdu, Sichuan 610064 People's Republic of China
Studia Mathematica, Tome 145 (2001) no. 3, pp. 265-280 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We introduce the notion of a local $n$-times integrated $C$-semigroup, which unifies the classes of local $C$-semigroups, local integrated semigroups and local $C$-cosine functions. We then study its relations to the $C$-wellposedness of the $(n+1)$-times integrated Cauchy problem and second order abstract Cauchy problem. Finally, a generation theorem for local $n$-times integrated $C$-semigroups is given.
DOI : 10.4064/sm145-3-6
Keywords: introduce notion local n times integrated c semigroup which unifies classes local c semigroups local integrated semigroups local c cosine functions study its relations c wellposedness times integrated cauchy problem second order abstract cauchy problem finally generation theorem local n times integrated c semigroups given

Miao Li  1   ; Fa-lun Huang  2   ; Quan Zheng  1

1 Department of Mathematics Huazhong University of Science and Technology Wuhan, Hubei 430074 People's Republic of China
2 Department of Mathematics Sichuan University Chengdu, Sichuan 610064 People's Republic of China 
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Miao Li; Fa-lun Huang; Quan Zheng. Local integrated $C$-semigroups. Studia Mathematica, Tome 145 (2001) no. 3, pp. 265-280. doi: 10.4064/sm145-3-6

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