Perturbation of non-exponentially-bounded α-times integrated C-semigroups

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概要

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• Let T(•) be a (not necessarily exponentially bounded, not necessarily nondegenerate) α-times integrated C-semigroup and let -B be the generator of a (C<SUB>0</SUB>)- group S(•) commuting with T(•) and C. Under suitable conditions on T(•) and S(•) we prove the existence of an α-times integrated C-semigroup V(•), which has generator overline{A+B} provided that T(•) is nondegenerate and has generator A. Explicit expressions of V(•) in terms of T(•) and S(•) are obtained. In particular, when B is bounded, V(•) can be constructed by means of a series in terms of T(•) and powers of B.

• 社団法人 日本数学会の論文
• 2003-10-01

著者

• Li Yuan-chuan

  Department Of Applied Mathematics National Chung-hsing University

• Shaw Sen-yen

  Department Of Mathematics National Central University

• Shaw Sen-yen

  Department Of Electrical Engineering National Tsing Hua University

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