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【期刊论文】Local integrated C-semigroups
李淼, Miao Li, Fa-lun Huang, Quan Zheng
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-1年11月30日
We introduce the notion of a local n-times integrated C-semigroup, which unifies the classes of local C-semigroups, local integrated semigroups and local C-cosine functions. We then study its relations to the C-wellposedness of (n+1)-times integrated Cauc
local n-times integrated C-semigroup,, C-cosine function,, wellposedness,, asymptotic C-resolvent.,
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【期刊论文】On Unbounded Perturbations of Semigroups: Compactness and Norm Continuity
李淼, Miao Li, Xiaohui Gu, and Falun Huang*
Semigroup Forum Vol. (2001) 1-13,-0001,():
-1年11月30日
Let A and B be the generators of strongly continuous semigroups (S(t))t≥,0 and (T(t))t≥0, respectively. Denote by △(t)=T(t)-S(t). We show that if △(t) is norm continuous for t>0 and R(λ,B)-R(λ,A) is compact for, λ∈p(A)∩p(B), then △(t) is compact. The conv
strongly continuous semigroups,, perturbation,, compactness,, norm continuity,, Miyadera-Voigt perturbation.,
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【期刊论文】ELLIPTIC OPERATORS WITH VARIABLE COEFFICIENTS GENERATING FRACTIONAL RESOLVENT FAMILIES
李淼, MIAO LI, FU-BO LI AND QUAN ZHENG
,-0001,():
-1年11月30日
In this paper we show that under very general conditions, elliptic operator with zero boundary condition can generate fractional resolvent families.
elliptic operator,, fractional resolvent family,, Volterra equations
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【期刊论文】Stability of C-regularized Semigroups
李淼, Miao LI, Quan ZHENG
Acta Mathematica Sinica, English Series Oct., 2004, Vol. 20, No.5, pp. 821-828,-0001,():
-1年11月30日
Let T=(T(t))t≥0 be a bounded C-regularized semigroup generated by A on a Banach space X and R(C) be dense in X. We show that if there is a dense subspace Y of X such that for every x∈Y, σu(A, Cx), the set of all points λ∈iR to which (λ−A)−1Cx can not be e
C-regularized semigroups,, Generators,, Stable,, Hille-Yosida space
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【期刊论文】ASYMPTOTIC ALMOST PERIODICITY OF C-SEMIGROUPS
李淼, LINGHONG XIE, MIAO LI, and FALUN HUANG
,-0001,():
-1年11月30日
Let {T(t)}t≥0 be a C-semigroup on a Banach space X with generator A. We will investigate the asymptotic almost periodicity of {T(t)} via the Hille-Yosida space of its generator.
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