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

APM > Vol.3 No.8, November 2013

Advances in Pure Mathematics

Volume 3, Issue 8 (November 2013)

ISSN Print: 2160-0368 ISSN Online: 2160-0384

Google-based Impact Factor: 0.50 Citations h5-index & Ranking

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

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Download as PDF (Size: 213KB) PP. 680-684

DOI: 10.4236/apm.2013.38091 4,349 Downloads 6,284 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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