On maximal regularity and semivariation of cosine operator functions

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/27972

Title:	On maximal regularity and semivariation of cosine operator functions
Authors:	Chyan,DK;Shaw,SY;Piskarev,S
Contributors:	數學研究所
Date:	1999
Issue Date:	2010-06-29 19:39:13 (UTC+8)
Publisher:	中央大學
Abstract:	It is proved that a cosine operator function C(.), with generator A, is locally of bounded semivariation if and only if u "(t) = Au(t) + f(t), t > 0, u(0), u'(0) is an element of D(A), has a strong solution for every continuous function f, if and only if the function integral(0)(t) integral(0)(t-8) C(tau) f(s) d tau ds, t > 0, is twice continuously differentiable for every continuous function f, that is, C(.) t;as the maximal regularity property if and only if A is a bounded operator. Some other characterisations of bounded generators of cosine operator functions are also established in terms of their local semivariations.
Relation:	JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES
Appears in Collections:	[Graduate Institute of Mathematics] journal & Dissertation

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