Hille-Yosida type theorems for local regularized semigroups and local integrated semigroups

Sheng Wang Wang

Studia Mathematica (2002)

  • Volume: 152, Issue: 1, page 45-67
  • ISSN: 0039-3223

Abstract

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Motivated by a great deal of interest recently in operators that may not be densely defined, we deal with regularized semigroups and integrated semigroups that are either not exponentially bounded or not defined on [0,∞) and generated by closed operators which may not be densely defined. Some characterizations and related examples are presented. Our results are extensions of the corresponding results produced by other authors.

How to cite

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Sheng Wang Wang. "Hille-Yosida type theorems for local regularized semigroups and local integrated semigroups." Studia Mathematica 152.1 (2002): 45-67. <http://eudml.org/doc/285340>.

@article{ShengWangWang2002,
abstract = {Motivated by a great deal of interest recently in operators that may not be densely defined, we deal with regularized semigroups and integrated semigroups that are either not exponentially bounded or not defined on [0,∞) and generated by closed operators which may not be densely defined. Some characterizations and related examples are presented. Our results are extensions of the corresponding results produced by other authors.},
author = {Sheng Wang Wang},
journal = {Studia Mathematica},
keywords = {regularized semigroups; integrated semigroups; exponentially bounded; closed operators},
language = {eng},
number = {1},
pages = {45-67},
title = {Hille-Yosida type theorems for local regularized semigroups and local integrated semigroups},
url = {http://eudml.org/doc/285340},
volume = {152},
year = {2002},
}

TY - JOUR
AU - Sheng Wang Wang
TI - Hille-Yosida type theorems for local regularized semigroups and local integrated semigroups
JO - Studia Mathematica
PY - 2002
VL - 152
IS - 1
SP - 45
EP - 67
AB - Motivated by a great deal of interest recently in operators that may not be densely defined, we deal with regularized semigroups and integrated semigroups that are either not exponentially bounded or not defined on [0,∞) and generated by closed operators which may not be densely defined. Some characterizations and related examples are presented. Our results are extensions of the corresponding results produced by other authors.
LA - eng
KW - regularized semigroups; integrated semigroups; exponentially bounded; closed operators
UR - http://eudml.org/doc/285340
ER -

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