Browse > Article
http://dx.doi.org/10.14403/jcms.2015.28.4.553

APPROXIMATION OF INTEGRATED SEMIGROUPS  

Lee, Young Seop (Department of Mathematics Seoul Women's University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.28, no.4, 2015 , pp. 553-559 More about this Journal
Abstract
The purpose of this paper is to show an integrated semigroup on a Banach space can be approximated by a sequence of integrated semigroups acting on different Banach spaces.
Keywords
approximation; integrated semigroup;
Citations & Related Records
연도 인용수 순위
  • Reference
1 W. Arendt, Vector-valued Laplace transforms and Cauchy problem, Israel J. Math. 59 (1987), 327-352.   DOI
2 H. Kellerman and M. Hieber, Integrated semigroups, J. Funct. Anal. 84 (1989), 160-180.   DOI
3 G. Da Prato and E. Sinestrari, Differential operators with non dense domain, Ann. Sc. Norm Super. Pisa Cl Sci. 14 (1987), 285-334.
4 A. Pazy, Semigroups of linear operators and applications to partial differential equations, Springer, New York, (1983).
5 T. J. Xiao and J. Liang, Approximations of Laplace transforms and integrated semigroups, J. Funct. Anal. 172 (2000), 202-200.   DOI