Geodesic
Local integrated $C$-semigroups
Miao Li1 ; Fa-lun Huang2 ; Quan Zheng1
1Department of Mathematics Huazhong University of Science and Technology Wuhan, Hubei 430074 People's Republic of China
2Department 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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