Local integrated C-semigroups

• Autorzy: Miao Li , Fa-lun Huang , Quan Zheng
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47D06: One-parameter semigroups and linear evolution equations
• 47D03: Groups and semigroups of linear operators
• 47D60: C -semigroups, regularized semigroups
• 47D62: Integrated semigroups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2001
• Tom: 145
• Numer: 3
• Strony: 265-280

Daty

wydano

2001

Twórcy

autor

Miao Li

• Department of Mathematics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, People's Republic of China

autor

Fa-lun Huang

• Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, People's Republic of China

autor

Quan Zheng

• Department of Mathematics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, People's Republic of China

Identyfikatory

DOI

10.4064/sm145-3-6