Local integrated C-semigroups

Miao Li; Fa-lun Huang; Quan Zheng

Studia Mathematica (2001)

  • Volume: 145, Issue: 3, page 265-280
  • ISSN: 0039-3223

Abstract

top
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.

How to cite

top

Miao Li, Fa-lun Huang, and Quan Zheng. "Local integrated C-semigroups." Studia Mathematica 145.3 (2001): 265-280. <http://eudml.org/doc/284968>.

@article{MiaoLi2001,
abstract = {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.},
author = {Miao Li, Fa-lun Huang, Quan Zheng},
journal = {Studia Mathematica},
keywords = {local -times integrated -semigroups; local -semigroups; local integrated semigroups; local -cosine functions; -wellposedness; second abstract Cauchy problem},
language = {eng},
number = {3},
pages = {265-280},
title = {Local integrated C-semigroups},
url = {http://eudml.org/doc/284968},
volume = {145},
year = {2001},
}

TY - JOUR
AU - Miao Li
AU - Fa-lun Huang
AU - Quan Zheng
TI - Local integrated C-semigroups
JO - Studia Mathematica
PY - 2001
VL - 145
IS - 3
SP - 265
EP - 280
AB - 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.
LA - eng
KW - local -times integrated -semigroups; local -semigroups; local integrated semigroups; local -cosine functions; -wellposedness; second abstract Cauchy problem
UR - http://eudml.org/doc/284968
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.