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Local integrated $C$-semigroups

Tom 145 / 2001

Miao Li, Fa-lun Huang, Quan Zheng Studia Mathematica 145 (2001), 265-280 MSC: 47D62, 47D60, 47D06, 47D03. DOI: 10.4064/sm145-3-6

Streszczenie

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.

Autorzy

  • Miao LiDepartment of Mathematics
    Huazhong University of Science and Technology
    Wuhan, Hubei 430074
    People's Republic of China
    e-mail
  • Fa-lun HuangDepartment of Mathematics
    Sichuan University
    Chengdu, Sichuan 610064
    People's Republic of China
  • Quan ZhengDepartment of Mathematics
    Huazhong University of Science and Technology
    Wuhan, Hubei 430074
    People's Republic of China
    e-mail

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