研究生导师肖体俊：中国科学技术大学_研究生导师资讯-新东方在线移动版

姓　　名	肖体俊	性　　别	男	出生年月
所在院校	中国科学技术大学	所在院系	数学系
职称	教授	招生专业	基础数学
研究领域	发展方程与算子微分方程理论、泛函分析与算子族理论、微分算子与谱理论、非线性分析、控制论、积分与随机方程等。

联系方式	E-mail	xiaotj@ustc.edu.cn	电话	0551*******	邮编	230026
联系方式	地址	中国科学技术大学数学系

个人简介

　　肖体俊，生于四川省隆昌县，四川大学理学博士学位及德国蒂宾根大学自然科学博士学位获得者。1994年破格晋升教授, 同年被评为国家级有突出贡献的中青年专家。2000年入选中国科学院“百人计划”。

　　曾荣获中国青年科技奖（1992年）、国务院政府特殊津贴（1993年）、国家级有突出贡献的中青年专家（1994年）、全国青年科技标兵（1996年）、安徽省十佳女科技工作者和“三八”红旗手（2000年）、德国Alexander von Humboldt（洪堡）奖研金（2001年）等嘉奖。

　　到访过美国、英国、德国、法国、意大利、比利时、奥地利、瑞士、瑞典、荷兰、丹麦、芬兰、挪威、台湾、香港等国家和地区。

　　现为中国科学技术大学教授、博士生导师, 国际数学期刊《Adv. Theore. Appl. Math.》、《J.Nonlin. Oper. Theory Appl.》编委,《应用泛函分析学报》、《应用数学》杂志编委, 美国数学会《Math. Rev.》（数学评论）评论员和欧洲数学会《Zentralblatt MATH》(数学评论) 评论员, 安徽省妇联常委。

　　主持或参与了Alexander von Humboldt基金、中国科学院“百人计划”、国家自然科学基金、教育部博士点专项基金、中国科学院重点基金、中国科学院创...

　　到访过美国、英国、德国、法国、意大利、比利时、奥地利、瑞士、瑞典、荷兰、丹麦、芬兰、挪威、台湾、香港等国家和地区。

　　主持或参与了Alexander von Humboldt基金、中国科学院“百人计划”、国家自然科学基金、教育部博士点专项基金、中国科学院重点基金、中国科学院创新基金等十几项科学基金项目的研究。
　　在Springer(斯普林格，德)出版的Lect. Notes in Math.系列发表英文专著一部, 在
　　1. 《Adv. Math.》（美）
　　2. 《Math. Ann.》（德）
　　3. 《J. Funct. Anal.》（美）
　　4. 《Pacific J. Math.》（美）
　　5. 《Trans. Amer. Math. Soc.》（美）
　　6. 《J. London Math. Soc.》（英）
　　7. 《J. Evolution Equations》（瑞士）
　　8. 《J. Differential Equations》（美）
　　9. 《Integral Equations and Operator Theory》（美）
　　10.《Semigroup Forum》（德）
　　等刊物上发表论文100多篇, 被SCI收录、 EI收录90多篇（详细情况请参见《科研情况》栏）。

　　曾应邀在多个国际学术会议作邀请报告、在英国牛津大学等多所国外高校作学术报告。

获得奖项

　　曾荣获中国青年科技奖（1992年）、国务院政府特殊津贴（1993年）、国家级有突出贡献的中青年专家（1994年）、全国青年科技标兵（1996年）、安徽省十佳女科技工作者和“三八”红旗手（2000年）、德国Alexander von Humboldt（洪堡）奖研金（2001年）等嘉奖。
　　曾荣获中国青年科技奖（1992年）、国务院政府特殊津贴（1993年）、国家级有突出贡献的中青年专家（1994年）、全国青年科技标兵（1996年）、安徽省十佳女科技工作者和“三八”红旗手（2000年）、德国Alexander von Humboldt（洪堡）奖研金（2001年）等嘉奖。

著作及论文

　　自1996年以来发表的论著目录（部分）

　　一、专著.

　　1． Ti-Jun Xiao and Jin Liang, The Cauchy Problem for Higher-Order Abstract Differential Equations, Lecture Notes in Mathematics 1701, Springer, Berlin, New York, 1998.

　　二、论文

　　2． Jin Liang, James Liu and Ti-Jun Xiao, Convergence for hyperbolic singular perturbation of integrodifferential equations, J. Inequ. Appl. Vol. 2007 (2007), Article ID 80935, 11 pages (美国，SCI)

　　3． Hui-Sheng Ding, Jin Liang, G. M. N'Guerekata and Ti-Jun Xiao, Pseudo-almost periodicity of some nonautonomous evolution equations with delay, Nonlinear Analysis, T & M 67 (2007)，1412-1418. (美国，SCI)

　　4． Jin Liang, L. Maniar, G. M. N'Guerekata and Ti-Jun Xiao, Existence and uniqueness of $C^{(n)}$- almost periodic solutions to some ordinary differential equations, Nonlinear Analysis, T & M 66 (2007), 1899--1910. (美国，SCI)

　　5． Ke Li, Jin Liang and Ti-Jun Xiao, New existence and uniqueness theorems of positive fixed points for mixed monotone operators with perturbation, J. Math. Anal. Appl. 328 (2007), 753--766. (美国，SCI)

　　6． Hui-Sheng Ding, Jin Liang, G. M. N'Guerekata and Ti-Jun Xiao, Mild pseudo-almost periodic solutions of nonautonomous semilinear evolution equations, Math. Comput. Modelling., 45 (2007),579--584. (英国，SCI)

　　7． Zhao-Cai Hao, Ti-Jun Xiao and Jin Liang, Existence of positive solutions for singular boundary value problem on time scales, J. Math. Anal. Appl. 325 (2007), 517-528. (美国，SCI)

　　8． Jin Liang, Ti-Jun Xiao and Fang Li, Multiplicative perturbations of local $C$-regularized semigroups. Semigroup Forum 72 (2006)...

　　自1996年以来发表的论著目录（部分）

　　一、专著.

　　1． Ti-Jun Xiao and Jin Liang, The Cauchy Problem for Higher-Order Abstract Differential Equations, Lecture Notes in Mathematics 1701, Springer, Berlin, New York, 1998.

　　二、论文

　　7． Zhao-Cai Hao, Ti-Jun Xiao and Jin Liang, Existence of positive solutions for singular boundary value problem on time scales, J. Math. Anal. Appl. 325 (2007), 517-528. (美国，SCI)

　　8． Jin Liang, Ti-Jun Xiao and Fang Li, Multiplicative perturbations of local $C$-regularized semigroups. Semigroup Forum 72 (2006), no. 3, 375--386. (德国，SCI)

　　9． Jin Liang, James Liu and Ti-Jun Xiao, Nonlocal Cauchy problems for nonautonomous evolution equations. Commun. Pure Appl. Anal. 5 (2006), no. 3, 529--535. (美国，SCI)

　　10． Zhao-Cai Hao, Jin Liang and Ti-Jun Xiao, Existence results for time scale boundary value problem. J. Comput. Appl. Math. 197 (2006), no. 1, 156--168. (美国，SCI)

　　11． Rong-Nian Wang, Ti-Jun Xiao and Jin Liang, A comparison principle for nonlocal coupled systems of fully nonlinear parabolic equations. Appl. Math. Lett. 19 (2006), no. 11, 1272--1277. (英国, SCI)

　　12． Zhao-Cai Hao, Jin Liang and Ti-Jun Xiao, Singular boundary value problem on infinite time scale. Discrete Dyn. Nat. Soc. 2006, Art. ID 71580, 1--13. (美国，SCI)

　　13． Jin Liang and Ti-Jun Xiao, Solutions to nonautonomous abstract functional equations with infinite delay. Taiwanese J. Math. 10 (2006), no. 1, 163--172. (SCI)

　　14． Ti-Jun Xiao， Jin Liang and Fang Li, A perturbation theorem of Miyadera type for local $C$-regularized semigroups. Taiwanese J. Math. 10 (2006), no. 1, 153--162. (SCI)

　　15． Zhao-Cai Hao, Jin Liang and Ti-Jun Xiao, Positive solutions of operator equations on half-line. J. Math. Anal. Appl. 314 (2006), no. 2, 423--435. (美国，SCI)

　　16． C. J. K. Batty, Jin Liang and Ti-Jun Xiao, On the spectral and growth bound of semigroups associated with hyperbolic equations, Adv. Math. 191 (2005), 1--10. (美国，SCI)

　　17． Jin Liang and Ti-Jun Xiao, Higher order degenerate Cauchy problems in locally convex spaces, Math. Comput. Modelling. 41 (2005), 837--847. (英国，SCI)

　　18． Jin Liang, Ti-Jun Xiao and Zhao-Cai Hao, Positive solutions of singular differential equations on measure chains, Comput. Math. Appl. 49 (2005), 651--663. (英国，SCI)

　　19． Jin Liang, James Liu and Ti-Jun Xiao, Hyperbolic singular perturbations for integrodifferential equations, Appl. Math. Comput. 163 (2005), 609--620. (美国，SCI)

　　20． Ke Li, Jin Liang and Ti-Jun Xiao, Positive fixed points for nonlinear operators. Comput. Math. Appl. 50 (2005), no. 10-12, 1569--1578. (英国，SCI)

　　21． Ke Li, Jin Liang and Ti-Jun Xiao, A fixed point theorem for convex and decreasing operators, Nonlinear Analysis, T & M 63 (2005), e209--e216. (美国， EI)

　　22． Ti-Jun Xiao and Jin Liang, Existence of classical solutions to nonautonomous nonlocal parabolic problems, Nonlinear Analysis, T & M 63 (2005), e225-e232. (美国，EI)

　　23． Rong-Nian Wang, Ti-Jun Xiao and Jin Liang, Asymptotic behavior of solutions for systems of periodic reaction-diffusion equations in unbounded domains, Int. J. Evolution Equations, 1 (2005), no.3, 281--198. (美国)

　　24． Ti-Jun Xiao and Jin Liang, Second order parabolic equations in Banach spaces with dynamic boundary conditions，Trans. Amer. Math. Soc. 356 (2004), 4787-4809. (美国，SCI)

　　25． Ti-Jun Xiao and Jin Liang, Complete second order differential equations in Banach spaces with dynamic boundary conditions, J. Differential Equations 200 (2004), no. 1, 105-136. (美国，SCI)

　　26． Jin Liang and Ti-Jun Xiao, Solvability of the Cauchy problem for infinite delay equations, Nonlinear Analysis, T & M 58 (2004), no. 3-4, 271-297. (美国，SCI)

　　27． Jin Liang, James Liu and Ti-Jun Xiao, Nonlocal Cauchy problems governed by compact operator families, Nonlinear Analysis, T & M 57 (2004), no. 2, 183-189. (美国，SCI)

　　28． Jin Liang and Ti-Jun Xiao, Semilinear integrodifferential equations with nonlocal initial conditions, Comput. Math. Appl. 47 (2004), no. 6-7, 863-875. (英国，SCI)

　　29． Jin Liang, Ti-Jun Xiao and J. van Casteren, A note on semilinear abstract functional differential and integrodifferential equations with infinite delay, Appl. Math. Lett. 17 (2004), no. 4, 473-477. (英国，SCI)

　　30． Ti-Jun Xiao and Jin Liang, A solution to an open problem for wave equations with
　　generalized Wentzell boundary conditions, Math. Ann. 327 (2003), no. 2, 351-363. (德国，SCI)

　　31． Ti-Jun Xiao and Jin Liang, Higher order abstract Cauchy problems: their existence and uniqueness families, J. London Math. Soc. 67 (2003), no. 1, 149-164. (英国，SCI)

　　32． Jin Liang, R. Nagel and Ti-Jun Xiao, Nonautonomous heat equations with generalized Wentzell boundary conditions, J. Evol. Equ. 3 (2003), no. 2, 321-331. (瑞士，SCI)

　　33． Fang Li, Jin Liang and Ti-Jun Xiao, Multiplicative perturbation theorems for regularized cosine operator functions, Acta Math. Sinica 46 (2003), no. 1, 119-130. (In Chinese)

　　34． Ti-Jun Xiao, Jin Liang and Jan van Casteren, Time dependent Desch-Schappacher type perturbations of Volterra integral equations, Integral Equations Operator Theory 44 (2002), no. 4, 494-506. (美国，SCI)

　　35． Jin Liang, Jan van Casteren and Ti-Jun Xiao, Nonlocal Cauchy problems for semilinear evolution equations，Nonlinear Analysis, Ser. A: Theory Methods 50 (2002), no. 2, 173-189. (美国，SCI)

　　36． Hong-Xu Li, Jin Liang and Ti-Jun Xiao, Criteria for the global invertibility of $Csp 1$ functions between Banach spaces, Nonlinear Analysis, Ser. A: Theory Methods 51 (2002), no. 2, 189-195. (美国，SCI)

　　37． Ti-Jun Xiao and Jin Liang, Perturbations of existence families for abstract Cauchy problems, Proc. Amer. Math. Soc. 130 (2002), no. 8, 2275-2285. (美国，SCI)

　　38． Ti-Jun Xiao and Jin Liang, Schr?dinger-type evolution equations in $Lsp p(Omega)$, J. Math. Anal. Appl. 260 (2001), no. 1., 55-69. (美国，SCI)

　　39． Ti-Jun Xiao and Jin Liang, Multiplicative perturbations of $C$-regularized
　　semigroups, Comput. Math. Appl. 41 (2001), no. 10-11, 1215-1221. (英国，SCI)

　　40． Jin Liang and Ti-Jun Xiao, Abstract degenerate Cauchy problems in locally convex spaces, J. Math. Anal. Appl. 259 (2001), no. 2, 398-412. (美国，SCI)

　　41． Ti-Jun Xiao and Jin Liang, Approximations of Laplace transforms and integrated semigroups, J. Funct. Anal. 172 (2000), no. 1, 202-220. (美国，SCI)

　　42． Jin Liang and Ti-Jun Xiao, The Cauchy problem for nonlinear abstract functional differential equations with infinite delay, Comput. Math. Appl. 40 (2000), no. 6-7, 693-703. (英国，SCI)

　　43． Ti-Jun Xiao and Jin Liang, Pazy-type characterization for differentiability of propagators of higher order Cauchy problems in Banach spaces, Discrete Contin. Dynam. Systems 5 (1999), no. 3, 651-662. (美国，SCI)

　　44． Ti-Jun Xiao, Jin Liang and Jian-Wei Gao, Ergodicity for $C$-cosine operator functions, Acta Anal. Funct. Appl. 1 (1999), no. 2, 97-107.(In Chinese)

　　45． Ti-Jun Xiao and Jin Liang, Differential operators and C-wellposedness of complete second order abstract Cauchy problems, Pacific J. Math.186 (1998), no. 1, 167-200. (美国，SCI)

　　46． Jin Liang and Ti-Jun Xiao, Norm continuity for $t>0$ of linear operator families, Chinese Sci. Bull. 43 (1998), no. 9, 719-723. (SCI)
　　Kexue Tongbao 43 (1998), no. 2, 145-149. (In Chinese)

　　47． Jin Liang and Ti-Jun Xiao, A characterization of norm continuity of propagators for second order abstract differential equations, Comput. Math. Appl. 36 (1998), 87-94. (英国，SCI)

　　48． Jin Liang and Ti-Jun Xiao, Integrated semigroups and higher order abstract equations, J. Math. Anal. Appl. 222 (1998), no. 1, 110-125. (美国，SCI)

　　49． Jin Liang, Fa-Lun Huang and Ti-Jun Xiao, Exponential stability for abstract linear autonomous functional differential equations with infinite delay, Internat. J. Math. Math. Sci. 21 (1998), no. 2, 255-259. (美国)

　　50． Jin Liang and Ti-Jun Xiao, Wellposedness results for certain classes of higher order abstract Cauchy problems connected with integrated semigroups, Semigroup Forum 56 (1998), no. 1, 84-103. (德国，SCI)

　　51． Jian-Ping Deng, Ti-Jun Xiao and Jin Liang, Holomorphic regularized semigroups and regularized cosine functions, Acta Math. Sinica 41 (1998), no. 3, 545-552. (In Chinese)

　　52． Ti-Jun Xiao and Jin Liang, Laplace transforms and integrated, regularized semigroups in locally convex spaces, J. Funct. Anal. 148 (1997), no. 2, 448-479. (美国，SCI)

　　53． Ti-Jun Xiao and Jin Liang, Exponential stability of solutions for higher order abstract Cauchy problems, J. Math. Anal. Appl. 215 (1997), no. 2, 485-498. (美国，SCI)

　　54． Ti-Jun Xiao and Jin Liang, Semigroups arising from elastic systems with dissipation, Comput. Math. Appl. 33 (1997), no. 10, 1-9. (英国，SCI)

　　55． Ti-Jun Xiao and Jin Liang, Cauchy problems for a class of abstract higher-order equations, Chin. Ann. Math. Ser. A 18 (1997), no. 2, 135-144. (In Chinese)

　　56． Ti-Jun Xiao and Jin Liang, Entire solutions of higher order abstract Cauchy problems, J. Math. Anal. Appl. 208 (1997), no. 2, 298-310. (美国，SCI)

　　57． Ti-Jun Xiao and Jin Liang, Widder-Arendt theorem and integrated semigroups in a locally convex space, Sci. China Ser. A 39 (1996), no. 11, 1121-1130. (SCI)
　　Zhongguo Kexue 26 (1996), no.8, 865-872. (In Chinese)

　　58． Jin Liang and Ti-Jun Xiao, Norm continuity (for $t>0$) of propagators of arbitrary order abstract differential equations in Hilbert spaces, J. Math. Anal. Appl. 204 (1996), no. 1, 124-137. (美国，SCI)

　　59． Ti-Jun Xiao and Jin Liang, Integrated semigroups, cosine families and higher order abstract Cauchy problems, Functional analysis in China, 351-365, Math. Appl. 356, Kluwer Acad. Publ., Dordrecht, 1996. (荷兰)

　　60． Jin Liang and Ti-Jun Xiao, Higher order abstract Cauchy problems in locally convex spaces, Lecture Notes in Pure and Appl. Math. 176, 177--181, Dekker, New York, 1996. (美国，ISTP) 　　

承担项目

　　主持或参与了Alexander von Humboldt基金、中国科学院“百人计划”、国家自然科学基金、教育部博士点专项基金、中国科学院重点基金、中国科学院创新基金等十几项科学基金项目的研究。
　　主持或参与了Alexander von Humboldt基金、中国科学院“百人计划”、国家自然科学基金、教育部博士点专项基金、中国科学院重点基金、中国科学院创新基金等十几项科学基金项目的研究。

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