Selected Papers:
- Boundary Controllability for the quasilinear wave equation, to appear in Applies Mathematics and Optimization.
- On shallow shell equations, to appear in Discrete and Continuous Dynamical Systems.
- Global smooth solutions and stabilization of nonlinear elastodynamic systems with locally distributed dissipation (with Zhi-Fei Zhang), to appear in Systems & Control Letters.
- Decay of energy for the Cauchy problem of the linear wave equation of variable coeffcients with dissipation, to appear in Chin. Ann. Math.
- Global smooth solutions of the quasi-linear wave equation with internal velocity feedback (with Zhi-Fei Zhang). SIAM J. Control Optim. 47 (2008), no. 4, 2044--2077.
- Global smooth solutions for the quasilinear wave equation with boundary dissipation. J. Differential Equations 241 (2007), no. 1, 62!93.
- An energy-preserving nonlinear system modeling a string with input and output on the boundary. Nonlinear Anal. 66 (2007), no. 10, 2128--2139.
- Global smooth solutions and exponential stability for a nonlinear beam (with Weiss George). SIAM J. Control Optim. 45 (2007), no. 6, 1931!1964
- Stabilization of Euler-Bernoulli plate equation with variable coefficients by nonlinear boundary feedback (with Yuxia Guo). J. Math. Anal. Appl. 317 (2006), no. 1, 50--70.
- Carleman estimates for a plate equation on a Riemann manifold with energy level terms (with Lasiecka, I.; Triggiani, R.) Analysis and applications---ISAAC 2001 (Berlin), 199--236, Int. Soc. Anal. Appl. Comput., 10, Kluwer Acad. Publ., Dordrecht, 2003.
- Observability inequalities for thin shells (with Shugen Chai). Sci. China Ser. A 46 (2003), no. 3, 300--311.
- Boundary feedback stabilization of shallow shells (with Shugen Chai and Yuxia Guo). SIAM J. Control Optim. 42 (2003), no. 1, 239!259.
- On boundary stability of wave equations with variable coefficients (with Yuxia Guo). Acta Math. Appl. Sin. Engl. Ser. 18 (2002), no. 4, 589--598.
- Carleman estimates with no lower-order terms for general Riemann wave equations. Global uniqueness and observability in one shot. Special issue dedicated to the memory of Jacques-Louis Lions (with Triggiani, R.). Appl. Math. Optim. 46 (2002), no. 2-3, 331--375.
- Stabilization of elastic plates with variable coefficients and dynamical boundary control (with Yuxia Guo and Shugen Guo). Quart. Appl. Math. 60 (2002), no. 2, 383--400.
- The ellipticity of the elliptic membrane. Acta Anal. Funct. Appl. 3 (2001), no. 4, 322--333.
- Observability inequalities for the Euler-Bernoulli plate with variable coefficients. Differential geometric methods in the control of partial differential equations (Boulder, CO, 1999), 383--406, Contemp. Math., 268, Amer. Math. Soc., Providence, RI, 2000.
- Observability inequalities for shallow shells. SIAM J. Control Optim. 38 (2000), no. 6, 1729!1756.
- On the dual boundary conditions and the nonnegative square root of the second derivative operator. J. Differential Equations 162 (2000), no. 2, 270--299.
- Inverse/observability estimates for Schrodinger equations with variable coefficients (with Triggiani, R.). Recent advances in control of PDEs. Control Cybernet. 28 (1999), no. 3, 627--664.
- An observability estimate in $L\sb 2(\Omega)\times H\sp {-1}(\Omega)$ for second-order hyperbolic equations with variable coefficients (with Lasiecka, I and Triggiani, R.). Control of distributed parameter and stochastic systems (Hangzhou, 1998), 71--78, Kluwer Acad. Publ., Boston, MA, 1999.
- Inverse/observability estimates for second-order hyperbolic equations with variable coefficients (with Lasiecka,I and Triggiani, R.). J. Math. Anal. Appl. 235 (1999), no. 1, 13--57.
- On the observability inequalities for exact controllability of wave equations with variable coefficients. SIAM J. Control Optim. 37 (1999), no. 5, 1568!1599.
- On the nonnegative square root of the fourth derivative operators. J. Differential Equations 148 (1998), no. 2, 318--333.
- Exact controllability for second-order hyperbolic equations with variable coefficient-principal part and first-order 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, 111--122.
- Structure for nonnegative square roots of unbounded nonnegative selfadjoint operators (with De-Xin Feng). Quart. Appl. Math. 54 (1996), no. 3, 457--473.
- On the dual boundary conditions of the fourth derivative operators. Quart. Appl. Math. 54 (1996), no. 3, 445--456.
- Paley-Wiener theorem and asymptotic behavior of $C\sb 0$ semigroups (with De-Xin Feng). Acta Math. Sinica (N.S.) 11 (1995), Special Issue, 153--162.
- On the inversion of the Laplace transform of $C\sb 0$ semigroups and its applications. SIAM J. Math. Anal. 26 (1995), no. 5, 1331--1341.
- A characteristic condition for the exponential stability of C_0 semigroup (with De-Xin Feng), CHINESE SCINCE BULLETIN, Vol.39, No. 7 (1994), 534-537.
- The number of positive solutions to an integral equation with double rank kernel. (Chinese) Acta Math. Sci. (Chinese) 11 (1991), no. 3, 2.
- The convergence of an algorithm (with Jinsheng Xiu). (Chinese), Math. Numer. Sinica 12 (1990), no. 2, 221!224.
- Perturbations of a class of linear operators. (Chinese) Acta Math. Sinica 31 (1988), no. 5, 615--622.
- 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, 78--88.
- The pole assignment problem for a class of linear operators. (Chinese) J. Systems Sci. Math. Sci. 5 (1985), no. 2, 145--150.