Norm Inequalities for Generators of Analytic Semigroups and Cosine Operator Functions
1989 ◽
Vol 32
(1)
◽
pp. 47-53
◽
Keyword(s):
AbstractWe prove that if A is the infinitesimal generator of a bounded analytic semigroup in a sector {z ∊ C : |arg z| ≦ (απ)/2} of bounded linear operators on a Banach space, then the following inequalities hold:for any x ∊ D(An) and for any 0 < β < α. This result helps us to answer in affirmative a question raised by M. W. Certain and T. G. Kurtz [3]. Similar inequalities are proved for cosine operator funtions.
1978 ◽
Vol 30
(03)
◽
pp. 474-482
◽
1990 ◽
Vol 32
(3)
◽
pp. 273-276
◽
1977 ◽
Vol 29
(1-2)
◽
pp. 69-76
◽
Keyword(s):
2016 ◽
Vol 160
(3)
◽
pp. 413-421
◽
2004 ◽
Vol 69
(3)
◽
pp. 383-394
2009 ◽
Vol 357
(2)
◽
pp. 340-348
◽
1991 ◽
Vol 54
(4)
◽
pp. 1042-1129
◽