Department of Mathematical Sciences

Tsinghua University

Beijing,
100084, P.R. China

Office: 1119 Science Building

Phone: 0086-10-62772156
(O)

Fax: 0086-10-62781785

Email:mailto:sbu@math.tsinghua.edu.cn

- B.S., September 1980-July 1985, Wuhan University
- Ph.D., September 1985-March 1990, University of Paris 7
- Postdoc., June 1990-June 1992, Wuhan University
- Associate Professor, June 1992-December 1994, Tsinghua University
- Professor, December 1994-Now, Tsinghua University

- 1985.09--1990.03: University of Paris 7 (France), Ph. D. Student
- 1991.09--1992.02: University of Paris 7 (France), Visiting professor
- 1994.09--1994.10: University of Marne-la-Vallee (France), Visiting professor
- 1995.09--1998.01: University of Pierre et Marie-Curie (France), Visiting professor
- 1998.08--1998.10: University of Pierre et Marie-Curie (France), Visiting professor
- 2000.01--2001.12: University of Ulm (Germany), Humboldt Research Fellowship
- 2005.01--2005.06: University of Franche-Comte (France), Visiting professor
- 2009.01--2009.04: University of Ulm (Germany), Humboldt Research Fellowship

- Geometry of Banach spaces
- Maximal regularity for evolution equations
- Vector-valued function spaces and operator-valued Fourier multipliers

- Acta Mathematica Sinica (since 2007)
- Science in China Series A: Mathematics (since 2015)
- Acta Analysis Functionalis Applicata (since 1999)

- "Maximal regularity for vector-valued boundary problems and related topics." 2012.01-2015.12 Grant from the NSF of China. No. 11171172, 420,000 Yuan.
- "Maximal regularity for some vector-valued boundary problems." 2013.01-2015.12 Specialized Research Fund for the Doctoral Program of Higher Education from the Ministry of Education of China. No. 20120002110044, 120,000 Yuan.
- "Operator algebras, geometry of Banach spaces and their applications in Analysis ." 2008.01-2011.12 Grant from the NSF of China. No. 10731020, 230,000 Yuan.
- "Maximal regularity for vector-valued boundary problems with delay." 2009.01-2011.12 Specialized Research Fund for the Doctoral Program of Higher Education from the Ministry of Education of China. No. 200800030059, 60,000 Yuan.
- "Maximal regularity for vector-valued boundary problems." 2006.01-2008.12 Grant from the NSF of China. No. 10571099, 230,000 Yuan.
- "Maximal regularity for vector-valued Cauchy problems." 2005.01-2007.12 Program for New Century Talent in University from the Ministry of Education of China. No. NCET-04-
- "Boundary problems and geometry of complex Banach spaces" 2005.01-2007.12 Specialized Research Fund for the Doctoral Program of Higher Education from the Ministry of Education of China. No. 20040003083, 50,000 Yuan.
- "Maximal regularity and mappings on operator algebras." 2005.10-2007.10 Grant from Tsinghua Basic Research Foundation. No. JCpy2005056, 50,000 Yuan
- "Maximal regularity for vector-valued Cauchy problems." 2003.01-2005.12 Grant from the Minister of Education: Excellent Young Teachers Program. 50,000 Yuan.
- "Maximal regularity for vector-valued Cauchy problems and geometry of Banach spaces." 2003.01-2005.12 Grant from the NSF of China. No. 19101029, 100,000 Yuan.
- "Maximal regularity for vector-valued Cauchy problems and analytic KMP." 1997.01-2001.12 Grant from the NSF of China. No. 19631070, 84,000 Yuan.
- "Analytic semigroups and quantic probability." 1997.01-1998.12 Sino-France Advance Research Projets. No. M96-3, 40,000 Yuan.
- "The analytic RNP and the analytic KMP in complex Banach spaces." 1996.01-1998.12 Grant from the Minister of Education. No. 19101029, 1,2800 US$.
- "Application of probabilty in Geometry of Banach spaces." 1995.01-1997.12 Grant from the NSF of China. No. 19471046, 22,000 Yuan.
- "Geometry of Banach spaces." 1992.01-1994.12 Grant from the Minister of Education. No. (91) 408, 16,000 Yuan.
- "Geometry of Banach spaces and related probabilityc method." 1992.01-1994.12 Grant from the NSF of China. No. 19101029, 10,000 Yuan.

- S. Bu and G. Cai: Well-posedness of second order degenerate differential equations in Holder continuous function spaces.
**Expos. Math.**(accepted). - S. Bu and G. Cai: Well-posedness of second order degenerate differential equations with finite delay.
**Proc. Edinb. Math. Soc.**(accepted). - G. Cai and S. Bu: Periodic solutions of third order degenerate differential equations.
**Israel J. Math.**(accepted). - S. Bu and G. Cai: Well-posedness of second order degenerate integro-differential
equations in vector-valued function spaces.
**Quest. Math.**(accpeted). - S. Bu: Well-posedness of degenerate differential equations in H\"older continuous function spaces.
**Front. Math. China**10 (2) (2015), 239-248. - G. Cai and S. Bu: Strong convergence theorems of a modified Mann iterative method for non expansive mappings in Banach spaces. (in Chinese)
**Acta Math. Sci. Ser. A**34 (1) (2014), 1-8. - S. Bu: $L_p$-maximal regularity of degenerate delay equations with periodic conditions.
**Banach J. Math. Anal.**8 (2) (2014), 49-59. - G. Cai and S. Bu: Krasnoselskii-type fixed point theorems with applications to Hammerstein integral equations in $L_1$ spaces.
**Math. Nachr.**286 (14-15) (2013), 1452-1465. - G. Cai and S. Bu: A viscosity scheme for mixed equilibrium problems, variational inequality problems and fixed point problems.
**Math. Comput. Modelling**57 (5-6) (2013), 1212-1226. - G. Cai and S. Bu: Strong convergence theorems for variational inequality problems and fixed point problems in uniformly smooth and uniformly convex Banach spaces.
**J. Global Optim.**56 (4) (2013), 1529-1542. - S. Bu: Well-posedness of second order degenerate differential equations in vector-valued function spaces.
**Studia Math.**214 (1) (2013), 1-16. - G. Cai and S. Bu: Strong convergence theorems for variational inequality problems and fixed point problems in Banach spaces.
**Bull. Malays. Math. Sci. Soc.**36 (2) (2013), 525-540. - S. Bu and G. Cai: Solutions of second order degenerate integro-differential
equations in vector-valued function spaces.
**Science China Mathematics**56 (5) (2013), 1059-1072. - G. Cai and S. Bu: Strong and weak convergence theorems for general mixed
equilibrium problems and variational inequality problems and fixed point problems in Hilbert
spaces.
**J. Comput. Appl. Math.**247 (2013), 34-52. - G. Cai and S. Bu: Modified extragradient methods for variational inequality
problems and fixed point problems for an infinite family of nonexpansive mappings in Banach
spaces.
**J. Global Optim.**55 (2) (2013), 437-457. - G. Cai and S. Bu: An iterative algorithm for a general system of variational
inequalities and fixed point problems in $q$-uniformly smooth Banach spaces.
**Optim. Letter**7 (2) (2013), 267-287. - S. Bu and G. Cai: Mild well-posedness of second order differential equations on the real line.
**Taiwanese Journal of Mathematics**17 (1) (2013), 143-159. - G. Cai and S. Bu: Weak convergence theorems for general equilibrium problems and variational inequality
problems and fixed point problems in Banach spaces.
**Acta Mathematica Scientia**33 (1) (2013), 303-320. - G. Cai and S. Bu: Strong convergence theorems for general variational inequality problems and fixed
point problems in $q$-uniformly smooth Banach spaces.
**Fixed Point Theory**13 (2) (2012), 383-401. - G. Cai and S. Bu: Convergence analysis for variational inequality problems and fixed point problems in 2-uniformly smooth and uniformly convex Banach spaces.
**Mathematics and Computer Modelling**55 (2012), 538-546. - S. Bu: Mild well-posedness of equations with fractional derivative.
**Math. Nachr.**285 (2-3) (2012), 202-209. - S. Bu: Well-posedness of equations with fractional derivative via the method of sum.
**Acta Mathematica Sinica**(English Series) 28 (1) (2012), 37-44. - G. Cai and S. Bu: Hybrid algorithm for generalized mixed equilibrium problems and variational inequality problems and fixed point problems.
**Computer and Mathematics with Aplications**62 (12) (2011), 4772-4782. - G. Cai and S. Bu: Approximation of common fixed points of a countable family of continuous pseudocontractions in a uniformly smooth Banach space.
**Applied Mathematics Letters**24 (12) (2011), 1998-2004. - S. Bu: Well-posedness of fractional differential equations on vector-valued function spaces.
**Integral Equations and Operator Theory**71 (2) (2011), 259-274. - G. Cai and S. Bu: Strong convergence theorems based on a new modified extragradient method for variational inequality and fixed point problems in Banach spaces.
**Computer and Mathematics with Aplications**62 (6) (2011), 2567-2579. - G. Cai and S. Bu: A viscosity approximation scheme for finite mixed equilibrium problems and variational inequality and fixed point problems.
**Computer and Mathematics with Aplications**(1) (2011), 440-454. - S. Bu: Operator-valued Fourier multipliers on multi-dimensional Hardy spaces.
**Chinese Annals of Mathematics Series B**32 (2) (2011), 293-302. - S. Bu: Maximal regularity for integral equations in Banach spaces.
**Taiwanese Journal of Mathematics**15 (1) (2011), 229-240. - S. Bu: H\"older continuous solutions for second order integro-differential Equations in Banach spaces.
**Acta Mathematica Scientia Series B**31 (3) (2011), 765-777. - S. Bu: Mild well-posedness of vector-valued problems on the real line.
**Archiv der Mathematik**95 (1) (2010), 63-73. - S. Bu: Well-posedness of equations with fractional derivative.
**Acta Mathematica Sinica (English Series)**26 (7) (2010), 1223-1232. - S. Bu: Maximal regularity of second order delay equations in Banach spaces.
**Sciences China-Mathematics**53 (1) (2010), 51-62. - W. Arendt and S. Bu: Fourier series in Banach spaces and maximal regularity.
In:
**Vector Measures, Integration and Related Topics**, (eds: G. P. Curbera, G. Muckenhaupt and W. J. Ricker), Basel Birkhauser 2010, 21-40. - S. Bu and Y. Fang: Maximal regularity of second order delay equations
in Banach spaces.
**Sciences in China, Series A: Mathematics**53 (1) (2010), 51-62. - S. Bu and Y. Fang: Periodic solutions of delay equations in Besov spaces and
Triebel-Lizorkin spaces.
**Taiwanese Journal of Mathematics**13 (3) (2009), 1063-1076. - S. Bu: Maximal regularity of second order delay equations in
Banach spaces.
**Acta Mathematica Sinica (English Series)**25 (1) (2009), 21-28. - S. Bu and J. Kim: Some remarks about operator-valued Fourier multiplier theorems
on Triebel spaces.
**Acta Analysis Functionalis Applicata**11 (1) (2009), 1-8. - S. Bu and Y. Fang: Maximal regularity for integro-differential
equation on periodic Triebel-Lizorkin spaces.
**Taiwanese Journal of Mathematics Math.**12 (2) (2008), 281-292. - S. Bu and Y. Fang: Periodic solutions for second order integro-differential
equations with infinite delay in Banach spaces.
**Studia Mathematica**184 (2)(2008), 103-119. - S. Bu and Ch. Le Merdy: $H\sp p$-maximal regularity
and operator valued multipliers on Hardy spaces.
**Canadian Journal of Mathematics**59 (6) (2007), 1207-1222. - S. Bu: On operator-valued Fourier multipliers.
**Sciences in China Ser. A**49 (4) (2006), 574-576. - S. Bu and E. Saksman: The complete continuity property in Banach spaces.
**Rocky Mountain Journal of Mathematics**36 (5) (2006), 1427-1435. - S. Bu and J. Kim: A note on operator-valued Fourier multipliers on Besov
spaces.
**Mathematische Nachrichen**278 (14) (2005), 1-6. - S. Bu and J. Kim: Operator-valued Fourier multipliers on Triebel spaces.
**Acta Mathematica Scientia**25B (4) (2005), 599-609. - S. Bu: Operator-valued Fourier multipliers and maximal regularity for
vector-valued boundary problems.
**Advances in Mathematics (China)**34 (1) (2005), 17-42 - S. Bu and J. Kim: Operator-valued Fourier multipliers on Periodic Triebel
spaces.
**Acta Mathematica Sinica (English Series)**21 (5) (2005), 1049-1056. - W. Arendt and S. Bu: Sum of bisectorial operators and applications.
**Integral Equations and Operator Theory**52 (2005), 299-321. - S. Bu: Some remarks about the R-boundedness.
**Chinese Annals of Mathematics**25B:3 (2004), 421-432. - S. Bu and J. Kim: Operator-valued Fourier multipliers on $L_p$-spaces on
$T^d$.
**Archiv der Mathematik**82 (2004), 404-414. - W. Arendt and S. Bu: Fourier multiplier theorems characterizing Hilbert
spaces.
**Journal of the Australian Mathematical Society**77 (2) (2004), 175-184. - W. Arendt and S. Bu: Operator-valued Fourier multipliers on periodic Besov
spaces and applications.
**Proceedings of the Edinburgh Mathematical Society**47 (1) (2004), 15-23. - W. Arendt, Ch. Batty and S. Bu: Fourier multipliers for Hoelder continuous
functions and maximal regularity.
**Studia Mathematica**160 (1) (2004), 23-51. - S. Bu and R. Chill: A remark about the interpolation of spaces of
continuous, vector-valued functions.
**Journal of Mathematical Analysis and Applications**288 (2003), 246-250. - W. Arendt and S. Bu: Tools for maximal regularity.
**Mathematical Proceedings of the Cambridge Philosophical Society**134 (2003), 317-336. - S. Bu and R. Chill: Banach spaces with the Riemann-Lebesgue or the
analytic Riemann-Lebesgue prperty.
**Bulletin of the London Mathemaical Society**34 (5) (2002), 569-581. - W. Arendt and S. Bu: The operator-valued Fourier multiplier theorem and
maximal regularity.
**Mathematische Zeitschrift**240 (2) (2002), 311-343. - S. Bu: Maximal regularity for vector-valued Cauchy problems. (in Chinese)
**Acta Mathematica Sinica (English Series)**45 (4) (2002), 625-630. - S. Bu: A note on the analytic complete continuity property.
**Journal of Mathematical Analysis and Applications**265 (2) (2002), 463-467. - S. Bu: The existence of radial limits of analytic functions in Banach
spaces.
**Chinese Annals of Mathematics**Ser. B 22 (4) (2001), 513-518. - W. Arendt, S. Bu and M. Haase: Functional calculus, variational methods
and Liapunov's theorem.
**Archiv der Mathematik**(Basel) 77 (1) (2001), 65-75. - S. Bu: A new characterisation of the analytic Radon-Nikodym property.
**Proceedings of the American Mathematical Society**128 (4) (2000), 1017-1022. - S. Bu: The existence of Jensen boundary points in complex Banach spaces.
**System Science and Mathematical Science (English Series)**12 (1) (1999), 8-12. - S. Bu, Ph. Clement and S. Delabriere: Regularity of pairs of positive
operators.
**Illinois Journal of Mathematics**42 (3) (1998), 357-370. - S. Bu: The analytic Krein-Milman property in Banach spaces.
**Acta Mathematica Scientia**18 (1) (1998), 17-24. - S. Bu and S. Delabriere: Imaginary powers and interpolation spaces of
unbounded operators. Dedicated to the memory of Pierre Grisvard.
**Rend. Istit. Mat. Univ. Trieste**28 (1996), suppl., 91-100 (1997). - S. Bu: The Cesaro operator on vector-valued $H\sp p$ spaces.
**Chinese Journal of Contemporary Mathematics**17 (1) (1996), 27-36. - S. Bu: A new characterization of the analytic Radon-Nikodym property for
bounded subsets.
**Northeast Mathematical Journal**12 (2) (1996), 227-229. - S. Bu: The plurisubharmonic dentability and the analytic Radon-Nikodym
property for bounded subsets in complex Banach spaces.
**Functional Analysis in China,**269-276, Math. Appl., 356, Kluwer Acad. Publ., Dordrecht, 1996. - S. Bu: A counterexample concerning the analytic Radon-Nikodym property.
**Chinese Annals of Mathematics**Ser. B 16 (1) (1995), 15-22. - S. Bu: A counterexample concerning integral representations in Banach
spaces. (in Chinese)
**Acta Mathematica Sinica**38 (1) (1995), 86-90. - S. Bu: A J-convex subset which is not PSH-convex.
**Acta Mathematica Scientia**14 (4) (1994), 446-450. - S. Bu: The super-analytic Radon-Nikodym property in Banach spaces of
measurable vector valued functions.
**Northeast Mathematical Journal**9 (3) (1993), 367-376. - S. Bu: On the analytic Radon-Nikodym property for bounded subsets in
Banach spaces.
**Journal of the London Mathematical Society**47 (3) (1993), 484-496. - S. Bu: Deux remarques sur la propriete de Radon-Nikodym analytique. (in
French) [Two remarks on the analytic Radon-Nikodym property]
**Annale de la Faculte des Sciences de Toulouse Mathematiques**(5) 11 (2) (1990), 79-89. - S. Bu: Existence of radial limits of harmonic functions in Banach spaces.
**Chinese Annals of Mathematics**Ser. B 13 (1) (1992), 110-117. - S. Bu and W. Schachemayer: Approximation of Jensen measures by image
measures under holomorphic functions and applications.
**Transaction of the American Mathematical Society**331 (2) (1992), 585-608. - S. Bu and B. Khaoulani: Une caracterisation de la propriete de
Radon-Nikodym analytique pour les espaces de Banach isomorphes a leur carres.
(in French) [A characterization of the analytic Radon-Nikodym property for
Banach spaces isomorphic to their squares]
**Mathematische Annalen**288 (2) (1990), 345-360. - S. Bu: Deux remarques sur les espaces de Banach stables. (in French) [Two
remarks on stable Banach spaces]
**Compositio Mathematica**69 (3) (1989), 341-355. - S. Bu: Quelques remarques sur la propriete de Radon-Nikodym analytique.
(in French) [Some remarks on the analytic Radon-Nikodym property].
**Comptes Rendues de l'Academies des Sciences de Paris**Ser. I Math. 306 (18) (1988), 757-760.