Professor in 
EMPLOYMENT HISTORY 
MAIN RESEARCH GRANTS 
A List of Papers
36. Uniform decay of local energy for the wave equation with variable coefficients, preprint in 2009.
35 Boundary Controllability for the quasilinear wave equation, to appear in Appl. Math. Optim.
34 On shallow shell equations, Discrete and Continuous Dynamical Systems Series, Vol. 2, No. 3, September 2009, pp. 697722.
33 Global smooth solutions and stabilization of nonlinear elastodynamic systems with locally distributed dissipation (with ZhiFei Zhang), Systems & Control Letters 58(2009) 491498.
32 Decay of energy for the Cauchy problem of the linear wave equation of variable coeffcients with dissipation, to appear in Chin. Ann. Math.
31 Global smooth solutions of the quasilinear wave equation with internal velocity feedback (with ZhiFei Zhang), SIAM J. Control Optim. 47 (2008), no. 4, 20442077.
30 Global smooth solutions for the quasilinear wave equation with boundary dissipation, J. Differential Equations 241 (2007), no. 1, 6293.
29 An energypreserving nonlinear system modeling a string with input and output on the boundary. Nonlinear Anal. 66 (2007), no. 10, 21282139.
28 Global smooth solutions and exponential stability for a nonlinear beam (with Weiss George), SIAM J. Control Optim. 45 (2007), no. 6, 19311964.
27 Stabilization of EulerBernoulli plate equation with variable coefficients by nonlinear boundary feedback (with Yuxia Guo), J. Math. Anal. Appl. 317 (2006), no. 1, 5070.
26 Carleman estimates for a plate equation on a Riemann manifold with energy level terms (with Lasiecka, I.; Triggiani, R.) Analysis and applicationsISAAC 2001 (Berlin), 199236, Int. Soc. Anal. Appl. Comput., 10, Kluwer Acad. Publ., Dordrecht, 2003.
25 Observability inequalities for thin shells (with Shugen Chai). Sci. China Ser. A 46 (2003), no. 3, 300311.
24 Boundary feedback stabilization of shallow shells (with Shugen Chai and Yuxia Guo). SIAM J. Control Optim. 42 (2003), no. 1, 239259.
23 On boundary stability of wave equations with variable coefficients (with Yuxia Guo). Acta Math. Appl. Sin. Engl. Ser. 18 (2002), no. 4, 589598.
22 Carleman estimates with no lowerorder terms for general Riemann wave equations. Global uniqueness and observability in one shot. Special issue dedicated to the memory of JacquesLouis Lions (with Triggiani, R.). Appl. Math. Optim. 46 (2002), no. 23, 331375.
21 Stabilization of elastic plates with variable coefficients and dynamical boundary control (with Yuxia Guo and Shugen Guo). Quart. Appl. Math. 60 (2002), no. 2, 383400.
20 The ellipticity of the elliptic membrane. Acta Anal. Funct. Appl. 3 (2001), no. 4, 322333.
19. Observability inequalities for the EulerBernoulli plate with variable coefficients. Differential geometric methods in the control of partial differential equations (Boulder, CO, 1999), 383406, Contemp. Math., 268, Amer. Math. Soc., Providence, RI, 2000.
18. Observability inequalities for shallow shells. SIAM J. Control Optim. 38 (2000), no. 6, 17291756.
17. On the dual boundary conditions and the nonnegative square root of the second derivative operator. J. Differential Equations 162 (2000), no. 2, 270299.
16. Inverse/observability estimates for Schrodinger equations with variable coefficients (with Triggiani, R.). Recent advances in control of PDEs. Control Cybernet. 28 (1999), no. 3, 627664.
15. An observability estimate in $L\sb 2(\Omega)\times H\sp{1}(\Omega)$ for secondorder hyperbolic equations with variable coefficients (with Lasiecka, I and Triggiani, R.). Control of distributed parameter and stochastic systems (Hangzhou, 1998), 7178, Kluwer Acad. Publ., Boston, MA, 1999.
14. Inverse/observability estimates for secondorder hyperbolic equations with variable coefficients (with Lasiecka,I and Triggiani, R.). J. Math. Anal. Appl. 235 (1999), no. 1, 1357.
13. On the observability inequalities for exact controllability of wave equations with variable coefficients. SIAM J. Control Optim. 37 (1999), no. 5, 15681599.
12. On the nonnegative square root of the fourth derivative operators. J. Differential Equations148 (1998), no. 2, 318333.
11. Exact controllability for secondorder hyperbolic equations with variable coefficientprincipal part and firstorder terms (with Lasiecka, I and Triggiani, R.). Proceedings of the Second World Congress of Nonlinear Analysts, Part 1 (Athens, 1996). Nonlinear Anal. 30 (1997), no. 1, 111122.
10. Structure for nonnegative square roots of unbounded nonnegative selfadjoint operators (with DeXin Feng). Quart. Appl. Math. 54 (1996), no. 3, 457473.
9. On the dual boundary conditions of the fourth derivative operators. Quart. Appl. Math. 54 (1996), no. 3, 445456.
8 PaleyWiener theorem and asymptotic behavior of $C\sb 0$ semigroups (with DeXin Feng). Acta Math. Sinica (N.S.) 11 (1995), Special Issue, 153162.
7. On the inversion of the Laplace transform of $C\sb 0$ semigroups and its applications. SIAM J. Math. Anal. 26 (1995), no. 5, 13311341.
6 A characteristic condition for the exponential stability of $C_0$ semigroup (with DeXin Feng), Chinese Science Bulletin, Vol.39, No. 7 (1994), 534537.
5. The number of positive solutions to an integral equation with double rank kernel. (Chinese) Acta Math. Sci. (Chinese) 11 (1991), no. 3, 2.
4. The convergence of an algorithm (with Jinsheng Xiu). (Chinese), Math. Numer. Sinica 12 (1990), no. 2, 221224
3. Perturbations of a class of linear operators. (Chinese) Acta Math. Sinica 31 (1988), no. 5, 615622.
2. Perturbation of rank one for a class of linear operators(with Chang Kai Liu and Guangtian Zhu). (Chinese) J. Systems Sci. Math. Sci. 7 (1987), no. 1, 7888.
1. The pole assignment problem for a class of linear operators.(Chinese) J. Systems Sci. Math. Sci. 5 (1985), no. 2, 145150. 
QUALIFICATION 
Research Interests: ● Control and Modeling of Vibrational Mechanics ● Scattering problem for Vibrational systems ● Global and blowup solutions 
Name 
PengFei Yao 
Address 
Institute of Systems Science 
Fax 
861062587343 (Office) 
Tel. 
861062651451 (Office) 

pfyao@iss.ac.cn 
B.Sc 
19771982 
M.Sc 
19821985 
Ph.D 
19921994 
Lecturer 
Mar. 1985 Oct. 1992 Taiyuan, China 
Postdoctoral Fellow 
July 1996 Sep. 1998 
Associate and Full Professor 
Institute of Systems Science The Chinese Academy of Science 
Research Associate 
December 2001March 2003 
Research Professor 
April2003  present 
100Talent Program 
2008.2010, Academia Sinica, CHINA 
National Distinguished Young Scholar's Grant 
20032006 