Geodesic
Local integrated $C$-semigroups
Miao Li1 ; Fa-lun Huang2 ; Quan Zheng1
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

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 
@article{10_4064_sm145_3_6,
     author = {Miao Li and Fa-lun Huang and Quan Zheng},
     title = {Local integrated $C$-semigroups},
     journal = {Studia Mathematica},
     pages = {265--280},
     publisher = {mathdoc},
     volume = {145},
     number = {3},
     year = {2001},
     doi = {10.4064/sm145-3-6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm145-3-6/}
}
TY  - JOUR
AU  - Miao Li
AU  - Fa-lun Huang
AU  - Quan Zheng
TI  - Local integrated $C$-semigroups
JO  - Studia Mathematica
PY  - 2001
SP  - 265
EP  - 280
VL  - 145
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm145-3-6/
DO  - 10.4064/sm145-3-6
LA  - en
ID  - 10_4064_sm145_3_6
ER  - 
%0 Journal Article
%A Miao Li
%A Fa-lun Huang
%A Quan Zheng
%T Local integrated $C$-semigroups
%J Studia Mathematica
%D 2001
%P 265-280
%V 145
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm145-3-6/
%R 10.4064/sm145-3-6
%G en
%F 10_4064_sm145_3_6
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

Cité par Sources :