On Maximal Regularity and Semivariation of α-Times Resolvent Families* - Advances in Pure Mathematics

APM > Vol.3 No.8, November 2013

On Maximal Regularity and Semivariation of α-Times Resolvent Families* ()

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DOI: 10.4236/apm.2013.38091 4,346 Downloads 6,278 Views Citations

Author(s)

Fubo Li, Miao Li

Affiliation(s)

Department of Mathematics, Sichuan University, Chengdu, China.

ABSTRACT

Let and A be the generator of an -times resolvent family on a Banach space X. It is shown that the fractional Cauchy problem has maximal regularity on if and only if is of bounded semivariation on .

KEYWORDS

α-Times Resolvent Family; Maximal Regularity; Semivariation

Share and Cite:

F. Li and M. Li, "On Maximal Regularity and Semivariation of α-Times Resolvent Families*," Advances in Pure Mathematics, Vol. 3 No. 8, 2013, pp. 680-684. doi: 10.4236/apm.2013.38091.

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