李淼
研究线性算子半群及其应用
个性化签名
- 姓名:李淼
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学术头衔:
博士生导师
- 职称:-
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学科领域:
应用数学
- 研究兴趣:研究线性算子半群及其应用
数学学院,2000年于四川大学获博士学位,随后到华中科技大学做博士后。2002年博士后出站后回四川大学任教。2003年7月被评为副教授。主要工作是研究线性算子半群及其应用。目前主持国家自然科学基金青年基金一项及四川大学引进人才基金一项。发表论文十余篇,其中九篇为SCI检索。目前担任美国Mathematical Reviews 评论员。
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主页访问
3677
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关注数
0
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成果阅读
581
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成果数
11
【期刊论文】Local integrated C-semigroups
李淼, Miao Li, Fa-lun Huang, Quan Zheng
,-0001,():
-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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46浏览
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222下载
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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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48浏览
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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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75浏览
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194下载
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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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43浏览
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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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44浏览
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李淼, MIAO LI, XIAO-HUI GU AND FA-LUN HUANG
,-0001,():
-1年11月30日
Under suitable conditions we prove the wellposedness of small time-varied delay equations and then establish the robust stability for such systems on the phase space of continuous vector-valued functions.
CO-semigroup,, delay equations,, robust stability.,
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60浏览
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66下载
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【期刊论文】REGULARIZED RESOLVENT FAMILIES
李淼, MIAO LI, QUAN ZHENG, AND JIZHOU ZHANG
,-0001,():
-1年11月30日
In this paper we give the notion of regularized resolvent families, which generalizes the classes of regularized semigroups, regularized cosine families and resolvent families. And some generation theorems and analyticity criterions for regularized resolv
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53浏览
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81下载
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【期刊论文】COMPACTNESS AND NORM CONTINUITY OF THE DIFFERENCE OF TWO COSINE FUNCTIONS
李淼, Miao Li, B.-Z. Guo and Serguei Piskarev
,-0001,():
-1年11月30日
We show that the compactness of the difference of two cosine functions can be characterized by that of the difference of their resolvents. We also make some comparisons between such results for CO-semigroups and cosine functions.
abstract differential equations,, cosine functions,, Banach spaces,, compactness in cosine operator theory,, compactness in control theory.,
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42浏览
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77下载
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【期刊论文】ON SPECTRAL INCLUSIONS AND APPROXIMATIONS OF ɑ-TIMES RESOLVENT FAMILIES
李淼, MIAO LI AND QUAN ZHENG
,-0001,():
-1年11月30日
We present some basic properties of fractional resolvent families. Moreover, spectral inclusions and approximation for fractional resolvent families are considered here.
resolvent families, ɑ-times resolvent families, fractional derivatives, fractional evolution equations.,
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132下载
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【期刊论文】Almost Periodicity of C-semigroups, Integrated Semigroups and C-cosine Functions
李淼, Xiaohui Gu, Miao Li, Falun Huang
,-0001,():
-1年11月30日
We investigate the characterization of almost periodic C-semigroups, via the Hille-Yosida space Z0, in case of R(C) being not dense. Analogous results are obtained for C-cosine functions. We also discuss the almost periodicity of integrated semigroups.
semigroup of class CO,, C-semigroup,, C-cosine function,, integrated semigroup,, almost periodicity.,
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60浏览
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